The server is usually a certian name example server1. And the https site to connect to is
server1.com: The Leading Server Site on the Net
However, now they've done something to the site so the link is now
https://site2.com/page.jsp however you still log into onto unix using the original server1... so they may be something in play there?
To clarify local machine is windows, just opens a connection to server. The unix part of it is the java program should be located on the server, which opens a http connection to a site which is on the same server.
Greetings.
Albert