Atkin-Lehner |
2- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87232r |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
11989074789269504 = 243 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 0 1 -4 0 1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-106892,12376848] |
[a1,a2,a3,a4,a6] |
j |
515251659466809/45734690816 |
j-invariant |
L |
0.78262334162661 |
L(r)(E,1)/r! |
Ω |
0.39131167254474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232f1 21808d1 |
Quadratic twists by: -4 8 |