Atkin-Lehner |
17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8381c |
Isogeny class |
Conductor |
8381 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-5.9528430287554E+21 |
Discriminant |
Eigenvalues |
-1 0 2 5 0 7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2237059,3929716736] |
[a1,a2,a3,a4,a6] |
j |
-51293497953529377/246621481589773 |
j-invariant |
L |
2.103235959689 |
L(r)(E,1)/r! |
Ω |
0.11684644220495 |
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 |
75429f1 493a1 |
Quadratic twists by: -3 17 |