Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15624u |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1062813975552 = 210 · 314 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2595,11342] |
[a1,a2,a3,a4,a6] |
j |
2588858500/1423737 |
j-invariant |
L |
1.5186970777842 |
L(r)(E,1)/r! |
Ω |
0.7593485388921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248o1 124992bt1 5208b1 109368bn1 |
Quadratic twists by: -4 8 -3 -7 |