HTTPS website redirects to HTTP

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http://serverfault.com – I bought an SSL certificate from GoDaddy, installed it on my EC2 instance and when I visit the IP of the instance directly with https the certificate shows up installed fine (though it warns me that something may be wrong because I'm not visiting it from the right domain name.) But when I went to GoDaddy and changed my A record to point to my instance's IP address, when I go to the HTTPS site it forwards me to HTTP - i.e. the SSL certificate doesn't show up anymore. What can I do about this? If you need more specifics I would be glad to provide. (HowTos)