Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16192y |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-5958656 = -1 · 210 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16,120] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:12:1] |
Generators of the group modulo torsion |
j |
-442368/5819 |
j-invariant |
L |
2.8880306775892 |
L(r)(E,1)/r! |
Ω |
2.0292804566407 |
Real period |
R |
1.4231796635789 |
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 |
16192e1 4048d1 |
Quadratic twists by: -4 8 |