Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3480t |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-313200 = -1 · 24 · 33 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 5 -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
-256/19575 |
j-invariant |
L |
4.0798508643493 |
L(r)(E,1)/r! |
Ω |
1.3974895684463 |
Real period |
R |
0.24328451510882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6960k1 27840f1 10440e1 17400e1 |
Quadratic twists by: -4 8 -3 5 |