Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240z |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.2338446108681E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28220907,-21762561094] |
[a1,a2,a3,a4,a6] |
j |
1664865424893526702418/826424127435466125 |
j-invariant |
L |
3.3090891836496 |
L(r)(E,1)/r! |
Ω |
0.068939357992701 |
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 |
6120z4 48960fb3 4080d4 61200bp3 |
Quadratic twists by: -4 8 -3 5 |