Sounds like some sort of malware blocking access to security sites to prevent their removal.
There are a few ways this can be done:
-- HOSTS file redirect a common malware tactic to block AV sites making it difficult to remove malware - 127.0.0.1 check your HOSTS file using notepad or a text editor of your choice, C:\WINDOWS\system32\drivers\etc\hosts or do a search for HOSTS to find it if not there.
Once open you are looking for entries with avast.com on the line, you may well see other AV sites, post the contents of the hosts file.
http://en.wikipedia.org/wiki/Hosts_fileThe other I know of is DNS redirect.
Try this link that uses an avast IP address not the domain which should get past a block,
http://174.123.201.114/eng/download-avast-home.html - Ensure that you scroll down and select the avast direct download link for the English version and not Cnet as that is for an on-line installation (not what you want to do).
Or try downloading it from this link - Direct download for avast Home, English version,
http://174.123.201.114/iavs4pro/setupeng.exe.