Atkin-Lehner |
2- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72896v |
Isogeny class |
Conductor |
72896 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
5781443575808 = 218 · 173 · 672 |
Discriminant |
Eigenvalues |
2- -2 4 2 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5121,-82433] |
[a1,a2,a3,a4,a6] |
j |
56667352321/22054457 |
j-invariant |
L |
3.5002349378695 |
L(r)(E,1)/r! |
Ω |
0.58337249742999 |
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 |
72896f1 18224j1 |
Quadratic twists by: -4 8 |