Atkin-Lehner |
2- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72896t |
Isogeny class |
Conductor |
72896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
1250312192 = 214 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 0 0 4 0 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-380,2288] |
[a1,a2,a3,a4,a6] |
j |
370386000/76313 |
j-invariant |
L |
2.9013152523466 |
L(r)(E,1)/r! |
Ω |
1.4506576029377 |
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 |
72896d1 18224a1 |
Quadratic twists by: -4 8 |