Atkin-Lehner |
2+ 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296bk |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4915200 |
Modular degree for the optimal curve |
Δ |
5.610509275695E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11007660,13587130672] |
[a1,a2,a3,a4,a6] |
j |
771864882375147625/29358565696512 |
j-invariant |
L |
1.0734484530825 |
L(r)(E,1)/r! |
Ω |
0.13418099980156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dk1 3978i1 42432w1 |
Quadratic twists by: -4 8 -3 |