Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830cu |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-21200952960 = -1 · 27 · 311 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,238,6801] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:81:1] |
Generators of the group modulo torsion |
j |
2053225511/29082240 |
j-invariant |
L |
8.5188804246346 |
L(r)(E,1)/r! |
Ω |
0.89756133153046 |
Real period |
R |
0.33896929241867 |
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 |
5610b1 84150cq1 |
Quadratic twists by: -3 5 |