Atkin-Lehner |
3+ 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4611b |
Isogeny class |
Conductor |
4611 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2328 |
Modular degree for the optimal curve |
Δ |
-4611 = -1 · 3 · 29 · 53 |
Discriminant |
Eigenvalues |
2 3+ -2 -1 4 5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1334,19205] |
[a1,a2,a3,a4,a6] |
Generators |
[170:7:8] |
Generators of the group modulo torsion |
j |
-262734266478592/4611 |
j-invariant |
L |
5.5297621142267 |
L(r)(E,1)/r! |
Ω |
3.1135714996128 |
Real period |
R |
1.7760189913462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73776u1 13833b1 115275t1 |
Quadratic twists by: -4 -3 5 |