Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
82908p |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-1.0574608999508E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 1 -2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12953640,17951504564] |
[a1,a2,a3,a4,a6] |
j |
-10948218293248000/4816245147 |
j-invariant |
L |
0.74152009005608 |
L(r)(E,1)/r! |
Ω |
0.18538002370828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27636g1 11844f1 |
Quadratic twists by: -3 -7 |