Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13572b |
Isogeny class |
Conductor |
13572 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
836675201232 = 24 · 314 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 2 2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32556,2260541] |
[a1,a2,a3,a4,a6] |
j |
327166871093248/71731413 |
j-invariant |
L |
1.7346890117352 |
L(r)(E,1)/r! |
Ω |
0.86734450586761 |
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 |
54288bj1 4524a1 |
Quadratic twists by: -4 -3 |