Atkin-Lehner |
3- 5+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205p |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.4626896245655E+26 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-131975415,44305891056] |
[a1,a2,a3,a4,a6] |
j |
348718746284743620988041841/200643295550824719140625 |
j-invariant |
L |
3.1639889901273 |
L(r)(E,1)/r! |
Ω |
0.049437300671876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42735m3 |
Quadratic twists by: -3 |