Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050bj |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
59459062500 = 22 · 38 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1130,8997] |
[a1,a2,a3,a4,a6] |
j |
13997521/5220 |
j-invariant |
L |
4.0603759924395 |
L(r)(E,1)/r! |
Ω |
1.0150939981099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400el1 4350b1 2610d1 |
Quadratic twists by: -4 -3 5 |