Atkin-Lehner |
2- 3- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
90768i |
Isogeny class |
Conductor |
90768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
185610240 |
Modular degree for the optimal curve |
Δ |
-5.9957343657994E+30 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -3 -7 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4188514776,-157371077464812] |
[a1,a2,a3,a4,a6] |
Generators |
[102845652314571:37745792258174538:620650477] |
Generators of the group modulo torsion |
j |
-1984010288015960957234011923289/1463802335400237906656231424 |
j-invariant |
L |
6.7073586537854 |
L(r)(E,1)/r! |
Ω |
0.0090905286479279 |
Real period |
R |
23.057510299863 |
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 |
11346a1 |
Quadratic twists by: -4 |