Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120bg |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-724334400000000 = -1 · 212 · 39 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22308,-178976] |
[a1,a2,a3,a4,a6] |
j |
411166897856/242578125 |
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 |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33120q2 66240ba1 11040f4 |
Quadratic twists by: -4 8 -3 |