Atkin-Lehner |
2- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640ck |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1455400960000 = -1 · 214 · 54 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2639,24561] |
[a1,a2,a3,a4,a6] |
j |
124010187824/88830625 |
j-invariant |
L |
4.3243495716158 |
L(r)(E,1)/r! |
Ω |
0.54054398153407 |
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 |
120640w2 30160z2 |
Quadratic twists by: -4 8 |