Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15624t |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
52077884802048 = 210 · 314 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -6 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33843,2371070] |
[a1,a2,a3,a4,a6] |
Generators |
[770:585:8] |
Generators of the group modulo torsion |
j |
5742523604164/69763113 |
j-invariant |
L |
5.8486011726572 |
L(r)(E,1)/r! |
Ω |
0.63402032248194 |
Real period |
R |
4.612313647741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248x1 124992bs1 5208a1 109368ce1 |
Quadratic twists by: -4 8 -3 -7 |