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You can also try to download the trial version of the software thru the page linked below and then use your current serial number to activate it.
Be sure to follow the steps outlined in the Note: Very Important Instructions section on the download pages at this site and have cookies enabled in your browser or else the download will not work properly.
I am running IE 10. I checked and I do allow all cookies from Adobe.com.
I still ran into the same problem so I went to the http://prodesigntools.com/adobe-c6-direct-download-links.html and it sent me first to a page for a trial version of Adobe Photoshop Lightroom 5. I tried the 'download' button and nothing happened. I can see in the top right that I am logged into Adobe because it show my name.
I was able to download both the exe and 7z files to my laptop. When I double click on the exe file I am asked what program I want to open it with. I don't know what to use.