Atkin-Lehner |
2- 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
107920i |
Isogeny class |
Conductor |
107920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1089792 |
Modular degree for the optimal curve |
Δ |
-1186592948695859200 = -1 · 245 · 52 · 19 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110056,54297456] |
[a1,a2,a3,a4,a6] |
j |
-35992240580216809/289695544115200 |
j-invariant |
L |
1.8771769328935 |
L(r)(E,1)/r! |
Ω |
0.23464715524151 |
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 |
13490a1 |
Quadratic twists by: -4 |