Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31808r |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
33353105408 = 226 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1004,8528] |
[a1,a2,a3,a4,a6] |
Generators |
[604:14824:1] |
Generators of the group modulo torsion |
j |
426957777/127232 |
j-invariant |
L |
6.1956351213112 |
L(r)(E,1)/r! |
Ω |
1.082087004679 |
Real period |
R |
5.7256349022957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31808g1 7952d1 |
Quadratic twists by: -4 8 |