Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856ca |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-23141376 = -1 · 210 · 36 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -6 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-612,-5832] |
[a1,a2,a3,a4,a6] |
j |
-33958656/31 |
j-invariant |
L |
0.95981586784166 |
L(r)(E,1)/r! |
Ω |
0.47990793392083 |
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 |
17856k1 4464w1 1984i1 |
Quadratic twists by: -4 8 -3 |