Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15138bd |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-106677486 = -1 · 2 · 37 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 3 0 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,103,263] |
[a1,a2,a3,a4,a6] |
j |
6859/6 |
j-invariant |
L |
4.8968089486235 |
L(r)(E,1)/r! |
Ω |
1.2242022371559 |
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 |
121104cq1 5046f1 15138m1 |
Quadratic twists by: -4 -3 29 |