Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888f |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-10337209198576128 = -1 · 29 · 310 · 112 · 414 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33771,-5443774] |
[a1,a2,a3,a4,a6] |
j |
-11411900732744/27695283561 |
j-invariant |
L |
0.65686444538859 |
L(r)(E,1)/r! |
Ω |
0.16421574735709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129888bf2 43296x2 |
Quadratic twists by: -4 -3 |