Atkin-Lehner |
3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487p |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
5056589432349 = 34 · 710 · 13 · 17 |
Discriminant |
Eigenvalues |
2 3- -2 7- 1 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-34414,-2466383] |
[a1,a2,a3,a4,a6] |
Generators |
[-429040:33121:4096] |
Generators of the group modulo torsion |
j |
15957372928/17901 |
j-invariant |
L |
11.849393313882 |
L(r)(E,1)/r! |
Ω |
0.35054515321632 |
Real period |
R |
8.4506897365157 |
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 |
97461p1 32487a1 |
Quadratic twists by: -3 -7 |