Atkin-Lehner |
2- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32240m |
Isogeny class |
Conductor |
32240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-2682368000 = -1 · 212 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3 5- 4 6 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2032,-35344] |
[a1,a2,a3,a4,a6] |
j |
-226534772736/654875 |
j-invariant |
L |
8.5314860271529 |
L(r)(E,1)/r! |
Ω |
0.35547858446478 |
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 |
2015c1 128960be1 |
Quadratic twists by: -4 8 |