Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928en |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
121126767552 = 26 · 38 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3855,90592] |
[a1,a2,a3,a4,a6] |
Generators |
[68:378:1] |
Generators of the group modulo torsion |
j |
135796744000/2596167 |
j-invariant |
L |
7.6085357613701 |
L(r)(E,1)/r! |
Ω |
1.0475307556985 |
Real period |
R |
1.2105508883613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928ds1 58464bb2 38976bt1 |
Quadratic twists by: -4 8 -3 |