Cannot connect to secure or login web pages

I have a good internet connection, but on one of the computers on my home network I cannot connect to any login or secure web page like my bank login page.  I can connect on my second computer without any problem.  I have Norton Internet Security 2009 and checked their website and could find no info.  I also sent Norton/Symantec an email about the problem, but I haven't received any response. I have WinXP Pro.  How can I correct the problem?