Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3770g |
Isogeny class |
Conductor |
3770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
38604800 = 212 · 52 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- -2 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-175,825] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:45:1] |
Generators of the group modulo torsion |
j |
592915705201/38604800 |
j-invariant |
L |
3.873996782342 |
L(r)(E,1)/r! |
Ω |
2.0113369427842 |
Real period |
R |
0.32101340986487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30160be1 120640e1 33930k1 18850a1 |
Quadratic twists by: -4 8 -3 5 |