Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15138bd |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-138254021856 = -1 · 25 · 311 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 3 0 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9032,-328597] |
[a1,a2,a3,a4,a6] |
j |
-4582567781/7776 |
j-invariant |
L |
4.8968089486235 |
L(r)(E,1)/r! |
Ω |
0.24484044743118 |
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 |
121104cq2 5046f2 15138m2 |
Quadratic twists by: -4 -3 29 |