Atkin-Lehner |
2- 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
100912o |
Isogeny class |
Conductor |
100912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
992418660352 = 216 · 75 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3 -2 7+ 3 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59251,-5551054] |
[a1,a2,a3,a4,a6] |
j |
5616306719736777/242289712 |
j-invariant |
L |
5.5080675350326 |
L(r)(E,1)/r! |
Ω |
0.30600375637002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12614d1 |
Quadratic twists by: -4 |