When I needed to access a secure page (HTTPS) from Internet Explorer 11 on a Windows 2008 R2 server, I always got a "Page cannot be displayed" error. I could, though, access that page from another machine or another browser on the same server.
Looking in the Event Viewer I saw:
Log Name: System
Date: 05.01.2015 12:11:58
Event ID: 36887
Task Category: None
The following fatal alert was received: 40.
Schannel error 40 means: SSL3_ALERT_HANDSHAKE_FAILURE
So I checked with SSL Labs which Ciphers my browser offers:
It looks like it was offering very old ciphers first
I checked the following Registry key:
It contained exactly the same old ciphers first!
So I looked at a Windows 7 client that was working and saw that there were the newer and more secure ciphers listed first:
I copied the Registry entry of the working machine to the server, rebooted the server and - Bingo - I could now access the web page.