Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700bd |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
55271250000 = 24 · 32 · 57 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1133,8988] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:153:1] |
Generators of the group modulo torsion |
j |
131072/45 |
j-invariant |
L |
8.8698210190843 |
L(r)(E,1)/r! |
Ω |
1.0277345778986 |
Real period |
R |
1.4384098132087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17340e1 86700a1 |
Quadratic twists by: 5 17 |