A tire for a two-wheeled motorized vehicle includes a tread joined by two sidewalls to two beads, the tread having first and second elastomer compositions, crown reinforcement, radially inside tread having a crown layer having mutually parallel circumferential reinforcers forming an angle at most equal to 5° to the circumferential direction, a carcass reinforcement, radially inside crown reinforcement, having turnup. Carcass reinforcement includes mutually parallel reinforcers, and wrapped, in each bead, from the inside to the outside of the tire, about bead wire in order to form turnup having free end E2. Carcass reinforcement includes crown portion and lateral portion, crown portion extending axially between first and second ends E2, E′2, E2 and E′2 being symmetric to equatorial plane P of the tire, lateral portion extending symmetrically to equatorial plane P radially towards the inside, from radially outermost end E2 to fourth end E4 disposed at the bead wire.