Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
13632s |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-167510016 = -1 · 218 · 32 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31,-609] |
[a1,a2,a3,a4,a6] |
j |
12167/639 |
j-invariant |
L |
1.734142722772 |
L(r)(E,1)/r! |
Ω |
0.867071361386 |
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 |
13632c1 3408f1 40896bn1 |
Quadratic twists by: -4 8 -3 |