Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bi |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.4441218761715E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21366507,-33328800106] |
[a1,a2,a3,a4,a6] |
j |
30716746229956/4112015625 |
j-invariant |
L |
3.4004461297894 |
L(r)(E,1)/r! |
Ω |
0.07084261285849 |
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 |
43320s2 6840u2 |
Quadratic twists by: -3 -19 |