Atkin-Lehner |
2- 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
85782p |
Isogeny class |
Conductor |
85782 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
668160 |
Modular degree for the optimal curve |
Δ |
-24798215183302692 = -1 · 22 · 36 · 17 · 298 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -1 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63513,9759933] |
[a1,a2,a3,a4,a6] |
j |
-56640625/49572 |
j-invariant |
L |
4.1477933065958 |
L(r)(E,1)/r! |
Ω |
0.34564943792888 |
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 |
85782d1 |
Quadratic twists by: 29 |