Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296dk |
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] |
Generators |
[313480638:38625273856:19683] |
Generators of the group modulo torsion |
j |
771864882375147625/29358565696512 |
j-invariant |
L |
7.0745466861251 |
L(r)(E,1)/r! |
Ω |
0.083079083173728 |
Real period |
R |
10.644295833045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999652425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296bk1 31824bb1 42432bs1 |
Quadratic twists by: -4 8 -3 |