Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120w |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1066220236800 = 212 · 39 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4428,-101952] |
[a1,a2,a3,a4,a6] |
j |
119095488/13225 |
j-invariant |
L |
2.3579209501562 |
L(r)(E,1)/r! |
Ω |
0.58948023753939 |
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 |
33120y2 66240dx1 33120e2 |
Quadratic twists by: -4 8 -3 |