I don't know if you've connected your EnTama to the Japanese TamaTown (e-tamago) site before, so I'll give some detailed steps.
On your PC: navigate your web browser to the address for e-tamago. For the EnTama, you can skip the Japanese menu page, and use this direct link:
https://e-tamago.com/pc/flash/tamago.html
Note: when you see a blinking picture of Mametchi driving a blue race car, it means "please wait a moment".
Eventually the e-tamago login page should appear, showing a box containing two rows of asterisks (these little stars --> * ) next to a box with buttons numbered 0 - 9.
On your EnTama: activate the connection icon (the heart in the upper right corner of the EnTama's screen.)
Click here to see a diagram showing the connection menu that I've translated into English.
Scroll down, through the two-page menu and select the entry which begins with the English-alphabet letters "PC". Another menu should appear, containing two entries. Select the top entry for the main TamaTown, or select the bottom entry to use a travel ticket. (If you don't have a travel ticket you can't select the bottom entry. If you have at least one travel ticket, you will be able to scroll through them and select the one you would like to use.) The 14-digit login password should now appear.
On your PC: enter the 14-digit login password from the EnTama. You may have to click the control on the web page once before it will begin accepting the password. Once the password has been completely input, press the Enter key on your keyboard or press the OK button on the web page.
The Japanese TamaTown page for the EnTama should now appear. Your Tamagotchi's character should appear in the lower left corner of the web page.
You may see three different problems, if you have a slow connection to the e-tamago server in Japan. When I am in North America I often see #1 and #2, and rarely #3. When I am in Japan, I rarely see #1, and almost never see #2 or #3.
#1. While you are navigating between pages, you may see a blinking picture of Mametchi driving a blue race car. This screen means "please wait a moment". Usually, after a moment, either the new page will finish loading, or one of the below two problems will occur.
#2. If your tamagotchi character gets "stuck" between locations within e-tamago, hit your browser's Refresh button (or the F5 key if you're using Microsoft Internet Explorer). This will take you back to the login password entry page. Re-enter the same login password, then immediately go to whichever location you got stuck going to before.
#3. When you are navigating between pages, your progress may halt at a picture of Mametchi, Memetchi, and Kuchipatchi stuck in space between Earth and the Tamagotchi home planet. This screen occurs when there is a load error. There are two buttons above the Earth. The red button means "retry". The blue button means "stop". If you press stop, you will be taken back to the first page (the Japanese menu page before the login screen).