Website Constantly Up and Down - "503 Service Unavailable."

My website keeps reporting an up and down/online and offline. It goes in spurts, but I get about 20-40 emails a day from you guys. I'm running Avada and have updated all plugins, themes, and necessary resources. Most of this started when I switch my godaddy hosting from PHP 5.4 to PHP 5.6. Can you help me figure this out? Its driving me crazy and now starting to effect my rankings.