Atkin-Lehner |
3- 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
85425p |
Isogeny class |
Conductor |
85425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-3577171875 = -1 · 3 · 56 · 17 · 672 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 1 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-158,-3031] |
[a1,a2,a3,a4,a6] |
j |
-28094464/228939 |
j-invariant |
L |
10.661422906116 |
L(r)(E,1)/r! |
Ω |
0.59230127409928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3417b1 |
Quadratic twists by: 5 |