Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cf |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
34636960530432 = 215 · 314 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85836,-9675344] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:49:1] |
Generators of the group modulo torsion |
j |
2927889364616/1449981 |
j-invariant |
L |
4.4494923548769 |
L(r)(E,1)/r! |
Ω |
0.27892991566087 |
Real period |
R |
3.9880021014834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296ce4 63648k4 42432cf4 |
Quadratic twists by: -4 8 -3 |