Atkin-Lehner |
2- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
67868a |
Isogeny class |
Conductor |
67868 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
204346230509312 = 28 · 198 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 4 3 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34295,-2345778] |
[a1,a2,a3,a4,a6] |
j |
1026000/47 |
j-invariant |
L |
3.1663888141296 |
L(r)(E,1)/r! |
Ω |
0.35182097864056 |
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 |
67868b1 |
Quadratic twists by: -19 |