Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810m |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
-2.1794462127704E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25360143,-49171600603] |
[a1,a2,a3,a4,a6] |
j |
-7626453723007966609/921488588800 |
j-invariant |
L |
1.0764117369763 |
L(r)(E,1)/r! |
Ω |
0.033637869704269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810y1 6370w1 |
Quadratic twists by: -7 13 |