Atkin-Lehner |
3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215x |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
5.8156112117021E+20 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2639082,-1173387870] |
[a1,a2,a3,a4,a6] |
Generators |
[-3950:24377:8] |
Generators of the group modulo torsion |
j |
2788398481286706724864/797751880891915005 |
j-invariant |
L |
4.5211308227772 |
L(r)(E,1)/r! |
Ω |
0.121030904401 |
Real period |
R |
6.225862787075 |
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 |
6405k1 96075u1 |
Quadratic twists by: -3 5 |