Atkin-Lehner |
2- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
32536c |
Isogeny class |
Conductor |
32536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
635419425424 = 24 · 78 · 832 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -5 -2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14520,677209] |
[a1,a2,a3,a4,a6] |
Generators |
[76:83:1] |
Generators of the group modulo torsion |
j |
3670702336/6889 |
j-invariant |
L |
3.9777202778386 |
L(r)(E,1)/r! |
Ω |
0.91272608173211 |
Real period |
R |
1.0895164380232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65072a1 32536e1 |
Quadratic twists by: -4 -7 |