Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82810cf |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
9.9808699738726E+18 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-567421,62892465] |
[a1,a2,a3,a4,a6] |
j |
16194277/8000 |
j-invariant |
L |
2.4404479597967 |
L(r)(E,1)/r! |
Ω |
0.20337066749281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1690i1 82810bo1 |
Quadratic twists by: -7 13 |