Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368k |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
329426452103168 = 214 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 2 0 7+ -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83328,9244928] |
[a1,a2,a3,a4,a6] |
j |
647214625/3332 |
j-invariant |
L |
2.1782832129305 |
L(r)(E,1)/r! |
Ω |
0.54457080323368 |
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 |
4046q1 129472cf1 1904e1 |
Quadratic twists by: -4 8 17 |