Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5568g |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1.2010817154961E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 5 -6 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4405791,-16291294623] |
[a1,a2,a3,a4,a6] |
j |
36079072622241241607/458176313589497856 |
j-invariant |
L |
2.7765597158504 |
L(r)(E,1)/r! |
Ω |
0.051417772515748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5568bi2 174a2 16704bc2 |
Quadratic twists by: -4 8 -3 |