A popular old last name meaning "the arrow" in french. Usually indicates that a certain individual with this name is "strikingly" handsome and able to "strike" your body with the ultimate sex pleasure. Usually romantics who will stop at nothing for the approval of their object of affection.
"Let's go to that restaurant. There's that one La fleche that will do your body good."
"I'm just broke up with him. The only thing I want right now is a La Fleche."