Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350cg |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
6662456642203855200 = 25 · 35 · 52 · 1711 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 3 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-470498,2592911] |
[a1,a2,a3,a4,a6] |
j |
19088138515945/11040808032 |
j-invariant |
L |
2.0083179850651 |
L(r)(E,1)/r! |
Ω |
0.20083179849734 |
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 |
43350bs2 2550be1 |
Quadratic twists by: 5 17 |