Atkin-Lehner |
2- 3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
15642i |
Isogeny class |
Conductor |
15642 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
5419008 |
Modular degree for the optimal curve |
Δ |
4.3819820256424E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11- 5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1894502693,-31738359336227] |
[a1,a2,a3,a4,a6] |
Generators |
[-25129:12608:1] |
Generators of the group modulo torsion |
j |
1031530003248877226947940527881/601094928071655424 |
j-invariant |
L |
7.4305761994804 |
L(r)(E,1)/r! |
Ω |
0.022883673777589 |
Real period |
R |
1.6912021243516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125136n1 1738b1 |
Quadratic twists by: -4 -3 |