Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
19488g |
Isogeny class |
Conductor |
19488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
770361887232 = 29 · 32 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3584,-72180] |
[a1,a2,a3,a4,a6] |
j |
9946697822216/1504613061 |
j-invariant |
L |
2.4931151332904 |
L(r)(E,1)/r! |
Ω |
0.6232787833226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19488f3 38976bc3 58464j3 |
Quadratic twists by: -4 8 -3 |