Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27144s |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
57165264 = 24 · 36 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 4 2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126,405] |
[a1,a2,a3,a4,a6] |
Generators |
[18:63:1] |
Generators of the group modulo torsion |
j |
18966528/4901 |
j-invariant |
L |
5.8259567368454 |
L(r)(E,1)/r! |
Ω |
1.855006405607 |
Real period |
R |
1.5703333204769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54288s1 3016a1 |
Quadratic twists by: -4 -3 |