Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
112632w |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-58820822179382016 = -1 · 28 · 32 · 134 · 197 |
Discriminant |
Eigenvalues |
2- 3- 1 1 3 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95785,16288427] |
[a1,a2,a3,a4,a6] |
j |
-8069733376/4883931 |
j-invariant |
L |
5.2098996788032 |
L(r)(E,1)/r! |
Ω |
0.3256186737135 |
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 |
5928c1 |
Quadratic twists by: -19 |