Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5568bg |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1231552512 = 219 · 34 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19809,1066527] |
[a1,a2,a3,a4,a6] |
j |
3279392280793/4698 |
j-invariant |
L |
1.3042498135875 |
L(r)(E,1)/r! |
Ω |
1.3042498135875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5568e3 1392h4 16704cl3 |
Quadratic twists by: -4 8 -3 |