Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15624j |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
316365751296 = 210 · 38 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2379,-35530] |
[a1,a2,a3,a4,a6] |
Generators |
[830:23870:1] |
Generators of the group modulo torsion |
j |
1994709028/423801 |
j-invariant |
L |
5.6393274297468 |
L(r)(E,1)/r! |
Ω |
0.69387575099786 |
Real period |
R |
4.0636435425484 |
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 |
31248r2 124992cb2 5208j2 109368o2 |
Quadratic twists by: -4 8 -3 -7 |