Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64736m |
Isogeny class |
Conductor |
64736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
57802577113673728 = 212 · 7 · 1710 |
Discriminant |
Eigenvalues |
2- -1 4 7+ -2 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111361,-8376847] |
[a1,a2,a3,a4,a6] |
j |
18496/7 |
j-invariant |
L |
2.1582328236145 |
L(r)(E,1)/r! |
Ω |
0.26977910456795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64736f1 129472f1 64736v1 |
Quadratic twists by: -4 8 17 |