Atkin-Lehner |
2- 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936bb |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
8398080 |
Modular degree for the optimal curve |
Δ |
2.1790587220014E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 1 5 3 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96260664,-363476912940] |
[a1,a2,a3,a4,a6] |
Generators |
[-5673:8262:1] |
Generators of the group modulo torsion |
j |
24082985707651896446953657/5319967583011240602 |
j-invariant |
L |
7.2705024754862 |
L(r)(E,1)/r! |
Ω |
0.048199562697636 |
Real period |
R |
0.9311214126841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242e1 |
Quadratic twists by: -4 |