Atkin-Lehner |
2- 7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
63784o |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17152 |
Modular degree for the optimal curve |
Δ |
34698496 = 28 · 7 · 172 · 67 |
Discriminant |
Eigenvalues |
2- -1 3 7- -6 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-204,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[0:34:1] |
Generators of the group modulo torsion |
j |
3685542352/135541 |
j-invariant |
L |
5.8068217214679 |
L(r)(E,1)/r! |
Ω |
2.0510498027297 |
Real period |
R |
0.35389326685701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568g1 |
Quadratic twists by: -4 |