If you wish to fly with Atlantis European, then you would need to book a flight out of Tbilisi Intl because the airline does not fly out of Los Angeles. If you still prefer to fly out of Los Angeles, then there are other airlines to choose from, such as Air Astana.
Tel Aviv Ben Gurion Intl, Tbilisi Intl, and Batumi are the most popular airports Atlantis European uses on a routine basis throughout the year.