Atkin-Lehner |
2- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46784bc |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
172052682702848 = 216 · 175 · 432 |
Discriminant |
Eigenvalues |
2- 0 2 2 6 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1892684,1002224912] |
[a1,a2,a3,a4,a6] |
j |
11441372199297754788/2625315593 |
j-invariant |
L |
4.5468559290994 |
L(r)(E,1)/r! |
Ω |
0.45468559290615 |
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 |
46784k1 11696d1 |
Quadratic twists by: -4 8 |