Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16606m |
Isogeny class |
Conductor |
16606 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-16606 = -1 · 2 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 2 -3 2 -3 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[23696:28125:4096] |
Generators of the group modulo torsion |
j |
-1510633/46 |
j-invariant |
L |
9.029075909637 |
L(r)(E,1)/r! |
Ω |
1.1731289253882 |
Real period |
R |
7.6965759808962 |
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 |
16606c1 |
Quadratic twists by: -19 |