AirTrain JFK

The Howard Beach route begins and ends at Howard Beach--JFK Airport, with a direct transfer to the New York City Subway's IND Rockaway Line (A train). It also stops at Lefferts Boulevard for transfers to shuttle bus service to long term parking lots A and B and to the airport employee parking lot, as well as to the B15 bus to Brooklyn. The line segment from Howard Beach to Federal Circle, which crosses the employee and long-term parking lots, is about 1.8 miles (2.9 km) long.

Question: does the a train go to howard beach
Answer: no