Tyre for a two-wheeled motorized vehicle of the motorbike type, comprising: - a tread connected by two sidewalls to two beads, - a crown reinforcement radially on the inside of the tread and comprising at least one crown layer (51, 52), - a crown layer (51, 52) comprising mutually parallel reinforcers forming, with the circumferential direction (XX') of the tyre, an angle at most equal to 30° in the equatorial plane, - a carcass reinforcement radially on the inside of the crown reinforcement and comprising at least two carcass layers (61, 62, 63), - each carcass layer (61, 62, 63) comprising mutually parallel reinforcers forming, with the circumferential direction (XX'), an angle at most equal to 65° in the equatorial plane, and crossed from one carcass layer to the next, - the reinforcers of each crown layer (51, 52) forming, with the circumferential direction (XX'), an angle at least equal to 15° and at most equal to 25° in the equatorial plane, said crown layer (51, 52) having an axial width comprised between its two axial ends in which the angle of the reinforcers of any crown layer (51, 52) is constant over the entire axial width of the crown layer, - the reinforcers of each carcass layer (61, 62, 63) forming, with the circumferential direction (XX'), an angle at least equal to 40° and at most equal to 50° in the equatorial plane, - the carcass reinforcement comprising at least one turned-up carcass layer (61, 62) wound, in each bead, from the inside towards the outside of the tyre around a bead wire to form a turnup (81, 82) comprising a free end (E1, E2), - the reinforcers of crown layer (51, 52) being made of polyester, characterized in that the turnup of at least one turned-up carcass layer is at least partially in contact with at least one crown layer along a region of overlap comprised between the axial end of the crown layer and the free end (E 1) of the turnup. - a tread connected by two sidewalls to two beads, - a crown reinforcement radially on the inside of the tread and comprising at least one crown layer (51, 52), - a crown layer (51, 52) comprising mutually parallel reinforcers forming, with the circumferential direction (XX') of the tyre, an angle at most equal to 30° in the equatorial plane, - a carcass reinforcement radially on the inside of the crown reinforcement and comprising at least two carcass layers (61, 62, 63), - each carcass layer (61, 62, 63) comprising mutually parallel reinforcers forming, with the circumferential direction (XX'), an angle at most equal to 65° in the equatorial plane, and crossed from one carcass layer to the next, - the reinforcers of each crown layer (51, 52) forming, with the circumferential direction (XX'), an angle at least equal to 15° and at most equal to 25° in the equatorial plane, said crown layer (51, 52) having an axial width comprised between its two axial ends in which the angle of the reinforcers of any crown layer (51, 52) is constant over the entire axial width of the crown layer, - the reinforcers of each carcass layer (61, 62, 63) forming, with the circumferential direction (XX'), an angle at least equal to 40° and at most equal to 50° in the equatorial plane, - the carcass reinforcement comprising at least one turned-up carcass layer (61, 62) wound, in each bead, from the inside towards the outside of the tyre around a bead wire to form a turnup (81, 82) comprising a free end (E1, E2), - the reinforcers of crown layer (51, 52) being made of polyester,