Atkin-Lehner |
2- 3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950cm |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
6322176 |
Modular degree for the optimal curve |
Δ |
1.0927564395955E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33971763,-76213501983] |
[a1,a2,a3,a4,a6] |
j |
277496777264177185611625/6993641213411328 |
j-invariant |
L |
3.5019400913789 |
L(r)(E,1)/r! |
Ω |
0.062534645169258 |
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 |
3318c1 |
Quadratic twists by: 5 |