Atkin-Lehner |
2+ 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590c |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
4760640 = 26 · 33 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180,-880] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] [17:19:1] |
Generators of the group modulo torsion |
j |
23962599387/176320 |
j-invariant |
L |
6.2213353481342 |
L(r)(E,1)/r! |
Ω |
1.3036500477864 |
Real period |
R |
4.772243408956 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49590be1 |
Quadratic twists by: -3 |