Ayala, 43, was arrested Wednesday on suspicion of murder after residents living close to San Antonio Elementary School, at 1721 E. San Antonio St., reported seeing him in the area last weekend, police Officer Albert Morales said.
Morales said the suspect has a distinct appearance for recognition, standing 6 feet 8 inches tall and weighing 300 pounds.
The murder victim was Reina Figueroa, 49, of San Jose, who was pronounced dead after officers found her body inside the car near the school, Morales said.
Detectives have learned that the two knew each other, Morales said.
Anyone with further information about the homicide is urged to call San Jose police at (408) 277-5283 or Silicon Valley Crime Stoppers at (408) 947-7867.