I think I found the problem. I just read on the Direct Download link that AE CS6 only operates on 64-bit and I only have a 32-bit.
(All of these trials are supported on Mac OS X or Windows (32-bit x86 and 64-bit x64), with the exception of After Effects CS6, Premiere Pro CS6, and SpeedGrade CS6 which are 64-bit only. For more, see the complete set of system requirements for Creative Suite 6.)
Any ideas how I can get an older version that would work on my operating system? I really need this software for a class I am attending.