Atkin-Lehner |
2+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82646a |
Isogeny class |
Conductor |
82646 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10214400 |
Modular degree for the optimal curve |
Δ |
5.7281846000768E+23 |
Discriminant |
Eigenvalues |
2+ 0 1 2 5 3 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23192954,-22848023884] |
[a1,a2,a3,a4,a6] |
j |
1554611083084760121/645426573737984 |
j-invariant |
L |
2.2837837556441 |
L(r)(E,1)/r! |
Ω |
0.071368243976383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666b1 |
Quadratic twists by: -31 |