Atkin-Lehner |
7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15631c |
Isogeny class |
Conductor |
15631 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-3453502081020607 = -1 · 79 · 112 · 294 |
Discriminant |
Eigenvalues |
-1 0 2 7- 11+ -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28631,-2132504] |
[a1,a2,a3,a4,a6] |
Generators |
[187311:15511459:27] |
Generators of the group modulo torsion |
j |
22062729659823/29354283343 |
j-invariant |
L |
3.0630758115679 |
L(r)(E,1)/r! |
Ω |
0.23745901285757 |
Real period |
R |
6.4496937275764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2233a1 |
Quadratic twists by: -7 |