Atkin-Lehner |
5- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76705m |
Isogeny class |
Conductor |
76705 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
34756953125 = 57 · 232 · 292 |
Discriminant |
Eigenvalues |
-2 -2 5- 0 1 -4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-820,-1426] |
[a1,a2,a3,a4,a6] |
Generators |
[56:362:1] [-102:671:8] |
Generators of the group modulo torsion |
j |
115408850944/65703125 |
j-invariant |
L |
4.3232069527043 |
L(r)(E,1)/r! |
Ω |
0.96443162511419 |
Real period |
R |
0.32018910266871 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76705f1 |
Quadratic twists by: -23 |