Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16606l |
Isogeny class |
Conductor |
16606 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-202045202 = -1 · 2 · 192 · 234 |
Discriminant |
Eigenvalues |
2- 1 2 -2 -3 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17,683] |
[a1,a2,a3,a4,a6] |
Generators |
[-1974:3103:216] |
Generators of the group modulo torsion |
j |
-1510633/559682 |
j-invariant |
L |
9.2867686662844 |
L(r)(E,1)/r! |
Ω |
1.4490158476446 |
Real period |
R |
3.2045090056745 |
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 |
16606a1 |
Quadratic twists by: -19 |