Atkin-Lehner |
3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
128865n |
Isogeny class |
Conductor |
128865 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
158861927257573815 = 35 · 5 · 1110 · 712 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-762424,-255582373] |
[a1,a2,a3,a4,a6] |
j |
27666642529024849/89673416415 |
j-invariant |
L |
6.4639049544468 |
L(r)(E,1)/r! |
Ω |
0.16159767774981 |
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 |
11715g2 |
Quadratic twists by: -11 |