Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3480h |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
33408000 = 210 · 32 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1216,15920] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:144:1] |
Generators of the group modulo torsion |
j |
194348673796/32625 |
j-invariant |
L |
3.7309349316284 |
L(r)(E,1)/r! |
Ω |
2.0071711723665 |
Real period |
R |
1.8588025690054 |
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 |
6960f1 27840x1 10440x1 17400bc1 |
Quadratic twists by: -4 8 -3 5 |