Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3480o |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
8767595520 = 210 · 310 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-696,-5220] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:28:1] |
Generators of the group modulo torsion |
j |
36464923876/8562105 |
j-invariant |
L |
3.0146967385756 |
L(r)(E,1)/r! |
Ω |
0.94515495298232 |
Real period |
R |
3.1896322704157 |
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 |
6960o1 27840by1 10440i1 17400n1 |
Quadratic twists by: -4 8 -3 5 |