Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
52528bn |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
542641732734976 = 212 · 711 · 67 |
Discriminant |
Eigenvalues |
2- 1 3 7- 0 1 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62344,-5906636] |
[a1,a2,a3,a4,a6] |
j |
55611739513/1126069 |
j-invariant |
L |
4.8401054426271 |
L(r)(E,1)/r! |
Ω |
0.30250659015605 |
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 |
3283a1 7504t1 |
Quadratic twists by: -4 -7 |