Atkin-Lehner |
2- 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
78660j |
Isogeny class |
Conductor |
78660 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-2930871600 = -1 · 24 · 36 · 52 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288,3213] |
[a1,a2,a3,a4,a6] |
j |
-226492416/251275 |
j-invariant |
L |
2.5913946684601 |
L(r)(E,1)/r! |
Ω |
1.295697328899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8740c1 |
Quadratic twists by: -3 |