Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16224g |
Isogeny class |
Conductor |
16224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-18690048 = -1 · 212 · 33 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -4 3 2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35,181] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:12:1] |
Generators of the group modulo torsion |
j |
6656/27 |
j-invariant |
L |
3.6213473102324 |
L(r)(E,1)/r! |
Ω |
1.5524656491471 |
Real period |
R |
1.166321236229 |
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 |
16224x1 32448bq1 48672by1 16224q1 |
Quadratic twists by: -4 8 -3 13 |