Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296a |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1750061334528 = 214 · 37 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-166620,-26178064] |
[a1,a2,a3,a4,a6] |
j |
42830942866000/146523 |
j-invariant |
L |
1.8904194967895 |
L(r)(E,1)/r! |
Ω |
0.23630225240048 |
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 |
127296bz2 7956e2 42432c2 |
Quadratic twists by: -4 8 -3 |