Atkin-Lehner |
2+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87232h |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63744 |
Modular degree for the optimal curve |
Δ |
-3083127808 = -1 · 210 · 29 · 473 |
Discriminant |
Eigenvalues |
2+ 2 -4 -1 -3 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45,-2659] |
[a1,a2,a3,a4,a6] |
j |
-10061824/3010867 |
j-invariant |
L |
1.2724851980287 |
L(r)(E,1)/r! |
Ω |
0.6362426008277 |
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 |
87232v1 10904b1 |
Quadratic twists by: -4 8 |