Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16920l |
Isogeny class |
Conductor |
16920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-27410400000 = -1 · 28 · 36 · 55 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-948,-13772] |
[a1,a2,a3,a4,a6] |
Generators |
[68:486:1] |
Generators of the group modulo torsion |
j |
-504871936/146875 |
j-invariant |
L |
4.5248459207381 |
L(r)(E,1)/r! |
Ω |
0.42382844763592 |
Real period |
R |
2.6690315067201 |
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 |
33840h1 1880b1 84600p1 |
Quadratic twists by: -4 -3 5 |