Tire with low rolling resistance and method for producing same

A tire (10) comprising a crown (12), two sidewalls (22) and two beads (24), each sidewall (22) connecting each bead (24) to the crown (12), the tire (10) comprising a carcass reinforcement (32) anchored in each bead (24) and extending in each sidewall (22) and radially internally at the crown (12), the carcass reinforcement (32) comprising a carcass layer (34), the crown (12) comprising:

• a tread (20) intended to come into contact with a ground when the tire (10) is rolling;
• and
• a crown reinforcement (14) arranged radially between the tread (20) and the carcass reinforcement (32), the crown reinforcement (14) comprising:
• a working reinforcement (16) comprising a single working layer (18);
• and
• a hoop reinforcement (17) arranged radially outside the working reinforcement (16), the hoop reinforcement (17) being axially delimited by two axial edges (17A, 17B) of the hoop reinforcement (17) and comprising at least one hooping filamentary reinforcing element (170) wound circumferentially helically so as to extend axially from one axial edge (17A, 17B) to the other axial edge (17A, 17B) of the hoop reinforcement (17),
• wherein the or each hooping filamentary reinforcing element (170) consists of:
• two multifilament strands (1701, 1702) of aromatic polyamide or aromatic copolyamide and one multifilament strand (1703) of aliphatic polyamide or of polyester;
• or
• three polyester multifilament strands,
• each multifilament strand (1701, 1702, 1703) being wound in a helix around a main axis (W) common to the three multifilament strands (1701, 1702, 1703), and
• wherein the hoop reinforcement (17) has a tangent modulus (M13%) at 1.3% elongation ranging from 200 to 650 daN/mm.