Atkin-Lehner |
5+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825f |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1027005546875 = -1 · 57 · 72 · 11 · 293 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7+ 11+ -7 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2492,-10082] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2537:1] [56:549:1] |
Generators of the group modulo torsion |
j |
109489762304/65728355 |
j-invariant |
L |
3.75921628396 |
L(r)(E,1)/r! |
Ω |
0.5103088865822 |
Real period |
R |
0.30693961236112 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165e1 |
Quadratic twists by: 5 |