Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2210c |
Isogeny class |
Conductor |
2210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
282880 = 28 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -4 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18,17] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] |
Generators of the group modulo torsion |
j |
611960049/282880 |
j-invariant |
L |
4.189171116208 |
L(r)(E,1)/r! |
Ω |
2.7608654745794 |
Real period |
R |
0.75866990890714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17680g1 70720p1 19890p1 11050e1 |
Quadratic twists by: -4 8 -3 5 |