Atkin-Lehner |
2- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8372g |
Isogeny class |
Conductor |
8372 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
14256 |
Modular degree for the optimal curve |
Δ |
47901771008 = 28 · 7 · 133 · 233 |
Discriminant |
Eigenvalues |
2- -2 0 7- -3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51493,4480359] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:2990:1] |
Generators of the group modulo torsion |
j |
58984345526272000/187116293 |
j-invariant |
L |
2.8605811321092 |
L(r)(E,1)/r! |
Ω |
0.9870663086691 |
Real period |
R |
0.96602126489564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33488q1 75348l1 58604g1 108836e1 |
Quadratic twists by: -4 -3 -7 13 |