Atkin-Lehner |
2- 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32016w |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
-1508081664 = -1 · 215 · 3 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 0 -2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28979584,-60036652544] |
[a1,a2,a3,a4,a6] |
j |
-657113243203147908283777/368184 |
j-invariant |
L |
2.3424968603137 |
L(r)(E,1)/r! |
Ω |
0.032534678615501 |
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 |
4002p1 128064dk1 96048y1 |
Quadratic twists by: -4 8 -3 |