Atkin-Lehner |
3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
32487h |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
592704 |
Modular degree for the optimal curve |
Δ |
27440987162817501 = 32 · 710 · 133 · 173 |
Discriminant |
Eigenvalues |
2 3+ 2 7- -5 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-125652,-15136549] |
[a1,a2,a3,a4,a6] |
j |
776703004672/97144749 |
j-invariant |
L |
4.6018495503536 |
L(r)(E,1)/r! |
Ω |
0.25565830835346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97461t1 32487j1 |
Quadratic twists by: -3 -7 |