Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456ce |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
7827709280256 = 214 · 312 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -6 -6 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4971,8858] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:378:1] |
Generators of the group modulo torsion |
j |
4549540393/2621484 |
j-invariant |
L |
8.517508053654 |
L(r)(E,1)/r! |
Ω |
0.63014672276438 |
Real period |
R |
3.3791765551335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999133733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16182p1 43152u1 |
Quadratic twists by: -4 -3 |