Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830z |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23809332703860000 = 25 · 314 · 54 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72054,571860] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:2817:1] |
Generators of the group modulo torsion |
j |
56751044592329569/32660264340000 |
j-invariant |
L |
3.017349151815 |
L(r)(E,1)/r! |
Ω |
0.32334988401901 |
Real period |
R |
1.1664412533227 |
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 |
5610bj3 84150fi3 |
Quadratic twists by: -3 5 |