Atkin-Lehner |
2+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
986b |
Isogeny class |
Conductor |
986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-34328576 = -1 · 212 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ -1 1 -2 1 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10407,-413003] |
[a1,a2,a3,a4,a6] |
Generators |
[126:481:1] |
Generators of the group modulo torsion |
j |
-124671038996895481/34328576 |
j-invariant |
L |
1.631689770791 |
L(r)(E,1)/r! |
Ω |
0.23633755028367 |
Real period |
R |
1.7260162094773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7888h1 31552e1 8874h1 24650bd1 |
Quadratic twists by: -4 8 -3 5 |