Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218bd |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
125664 |
Modular degree for the optimal curve |
Δ |
-408174276276 = -1 · 22 · 36 · 136 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 -1 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1806,-42184] |
[a1,a2,a3,a4,a6] |
Generators |
[830:23454:1] |
Generators of the group modulo torsion |
j |
-185193/116 |
j-invariant |
L |
4.5616776121568 |
L(r)(E,1)/r! |
Ω |
0.35606250482715 |
Real period |
R |
6.4057258922842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9802e1 522l1 |
Quadratic twists by: -3 13 |