Atkin-Lehner |
5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
96815p |
Isogeny class |
Conductor |
96815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
484704 |
Modular degree for the optimal curve |
Δ |
156570875763245 = 5 · 178 · 672 |
Discriminant |
Eigenvalues |
2 2 5- 0 -5 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27840,-1674287] |
[a1,a2,a3,a4,a6] |
j |
342102016/22445 |
j-invariant |
L |
6.6801907468555 |
L(r)(E,1)/r! |
Ω |
0.37112170804789 |
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 |
96815e1 |
Quadratic twists by: 17 |