Atkin-Lehner |
2- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
47432n |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
15714201868288 = 211 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11+ 3 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6288,19424] |
[a1,a2,a3,a4,a6] |
j |
1750 |
j-invariant |
L |
1.196324304082 |
L(r)(E,1)/r! |
Ω |
0.59816215220258 |
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 |
94864a1 47432q1 47432a1 |
Quadratic twists by: -4 -7 -11 |