Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472dq |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
153131827344832 = 26 · 73 · 178 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 2 -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165404,-25940458] |
[a1,a2,a3,a4,a6] |
j |
1120967488/343 |
j-invariant |
L |
0.7102181493584 |
L(r)(E,1)/r! |
Ω |
0.23673954505981 |
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 |
129472cq1 64736j1 129472cb1 |
Quadratic twists by: -4 8 17 |