Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1288c |
Isogeny class |
Conductor |
1288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
-599256204031045232 = -1 · 24 · 718 · 23 |
Discriminant |
Eigenvalues |
2+ -3 0 7+ -6 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24425,-37215701] |
[a1,a2,a3,a4,a6] |
j |
100718081964000000/37453512751940327 |
j-invariant |
L |
0.54353990334864 |
L(r)(E,1)/r! |
Ω |
0.13588497583716 |
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 |
2576f1 10304f1 11592m1 32200v1 |
Quadratic twists by: -4 8 -3 5 |