Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928dv |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9698476032 = 216 · 36 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155916,-23696496] |
[a1,a2,a3,a4,a6] |
j |
8773811642628/203 |
j-invariant |
L |
1.9220591413195 |
L(r)(E,1)/r! |
Ω |
0.24025746152278 |
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 |
116928cl4 29232e4 12992w3 |
Quadratic twists by: -4 8 -3 |