Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
850g |
Isogeny class |
Conductor |
850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
106250000 = 24 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -2 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,781] |
[a1,a2,a3,a4,a6] |
j |
47045881/6800 |
j-invariant |
L |
3.6143168643974 |
L(r)(E,1)/r! |
Ω |
1.8071584321987 |
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 |
6800n1 27200m1 7650u1 170a1 |
Quadratic twists by: -4 8 -3 5 |