Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120bg |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
70503813158400 = 29 · 39 · 52 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66387,-6571334] |
[a1,a2,a3,a4,a6] |
j |
86691267621512/188892675 |
j-invariant |
L |
2.3797187729267 |
L(r)(E,1)/r! |
Ω |
0.29746484661529 |
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 |
33120q4 66240ba4 11040f3 |
Quadratic twists by: -4 8 -3 |