Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6090bc |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
9208080 = 24 · 34 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-160,752] |
[a1,a2,a3,a4,a6] |
j |
453161802241/9208080 |
j-invariant |
L |
4.6153783315326 |
L(r)(E,1)/r! |
Ω |
2.3076891657663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48720bp1 18270q1 30450e1 42630cm1 |
Quadratic twists by: -4 -3 5 -7 |