Tyre having a radial carcass reinforcement comprising a crown reinforcement formed of at least two working crown layers (41, 43) each formed of reinforcing elements inserted between two calendering layers of rubber mixture, crossed from one layer to the other while forming, with the circumferential direction, angles of between 10° and 45°, the crown reinforcement being topped radially by a tread, the said tread being joined to two beads via two sidewalls, the crown reinforcement comprising at least one layer of circumferential reinforcing elements, characterized in that the tensile modulus of elasticity at 10% elongation of at least one calendering layer of at least one working crown layer (41, 43) is less than 8.5 MPa and in that the maximum tan(δ) value, denoted tan(δ) max, measured at 100°C, of the said at least one calendering layer of at least one working crown layer is less than 0.100 and in that the said at least one calendering layer of at least one working crown layer (41, 43) is an elastomeric mixture based on natural rubber or on synthetic polyisoprene predominantly comprising cis-1,4 enchainments and optionally on at least one other diene elastomer, the natural rubber or the synthetic polyisoprene, in the case of a blend, being present at a predominant content with respect to the content of the other diene elastomer(s) used, and on a reinforcing filler consisting: a) either of carbon black with a BET specific surface of greater than 60 m 2 /g, i. employed at a content of between 20 and 40 phr when the structural index of the black (COAN) is greater than 85, ii. employed at a content of between 20 and 50 phr when the structural index of the black (COAN) is less than 85, b) or of carbon black with a BET specific surface of less than 60 m 2 /g, whatever its structural index, employed at a content of between 20 and 80 phr and preferably between 30 and 50 phr, c) or of a white filler of silica and/or alumina type comprising SiOH and/or AlOH surface functional groups, selected from the group consisting of precipitated or fumed silicas, aluminas and aluminosilicates, or alternatively carbon blacks modified during or after the synthesis having a BET specific surface of between 130 and 260 m 2 /g and preferably greater than 150m 2 /g, employed at a content of between 20 and 80 phr and preferably between 30 and 50 phr, d) or of a blend of carbon black described in (a) and/or of carbon black described in (b) and/or a white filler described in (c), in which the overall content of filler is between 20 and 80 phr and preferably between 40 and 60 phr. a) either of carbon black with a BET specific surface of greater than 60 m 2 /g, i. employed at a content of between 20 and 40 phr when the structural index of the black (COAN) is greater than 85, ii. employed at a content of between 20 and 50 phr when the structural index of the black (COAN) is less than 85, i. employed at a content of between 20 and 40 phr when the structural index of the black (COAN) is greater than 85, ii. employed at a content of between 20 and 50 phr when the structural index of the black (COAN) is less than 85, b) or of carbon black with a BET specific surface of less than 60 m 2 /g, whatever its structural index, employed at a content of between 20 and 80 phr and preferably between 30 and 50 phr, c) or of a white filler of silica and/or alumina type comprising SiOH and/or AlOH surface functional groups, selected from the group consisting of precipitated or fumed silicas, aluminas and aluminosilicates, or alternatively carbon blacks modified during or after the synthesis having a BET specific surface of between 130 and 260 m 2 /g and preferably greater than 150m 2 /g, employed at a content of between 20 and 80 phr and preferably between 30 and 50 phr, d) or of a blend of carbon black described in (a) and/or of carbon black described in (b) and/or a white filler described in (c), in which the overall content of filler is between 20 and 80 phr and preferably between 40 and 60 phr.