Atkin-Lehner |
2+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87232f |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
4 |
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 |
4.248526510433 |
L(r)(E,1)/r! |
Ω |
0.26553290598798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232r1 2726a1 |
Quadratic twists by: -4 8 |