Atkin-Lehner |
2- 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15834v |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
35633951258724 = 22 · 32 · 72 · 134 · 294 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12369,-445851] |
[a1,a2,a3,a4,a6] |
j |
209280938961918097/35633951258724 |
j-invariant |
L |
3.6636767182624 |
L(r)(E,1)/r! |
Ω |
0.45795958978279 |
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 |
126672be4 47502t4 110838bp4 |
Quadratic twists by: -4 -3 -7 |