Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16758l |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
88551080057889792 = 210 · 37 · 78 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-156123,-18902619] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:1686:1] |
Generators of the group modulo torsion |
j |
4906933498657/1032471552 |
j-invariant |
L |
3.0615899534709 |
L(r)(E,1)/r! |
Ω |
0.24374702225037 |
Real period |
R |
1.5700653105446 |
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 |
5586z1 2394e1 |
Quadratic twists by: -3 -7 |