Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296k |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2479253557248 = 212 · 36 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235668,-44035040] |
[a1,a2,a3,a4,a6] |
j |
484772621703616/830297 |
j-invariant |
L |
3.4669242168505 |
L(r)(E,1)/r! |
Ω |
0.21668280314757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296l2 63648m1 14144e2 |
Quadratic twists by: -4 8 -3 |