Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31808x |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
222656 = 26 · 72 · 71 |
Discriminant |
Eigenvalues |
2- -2 2 7- 4 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92,310] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:105:8] |
Generators of the group modulo torsion |
j |
1360251712/3479 |
j-invariant |
L |
5.0445709263062 |
L(r)(E,1)/r! |
Ω |
3.1562992823232 |
Real period |
R |
3.1965098839379 |
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 |
31808t1 15904d2 |
Quadratic twists by: -4 8 |