Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190bx |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-560564550 = -1 · 2 · 36 · 52 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,58,-1141] |
[a1,a2,a3,a4,a6] |
j |
30080231/768950 |
j-invariant |
L |
4.7579864321846 |
L(r)(E,1)/r! |
Ω |
0.79299773869744 |
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 |
65520dx1 910b1 40950v1 57330dz1 |
Quadratic twists by: -4 -3 5 -7 |