Atkin-Lehner |
3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7569b |
Isogeny class |
Conductor |
7569 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-13921411923 = -1 · 39 · 294 |
Discriminant |
Eigenvalues |
0 3+ 0 -1 0 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-5677] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
1.15003682922 |
L(r)(E,1)/r! |
Ω |
0.57501841460998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104bn2 7569b1 7569a2 |
Quadratic twists by: -4 -3 29 |