Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480t |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.8954E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2138241,-1005489441] |
[a1,a2,a3,a4,a6] |
j |
8248670337458940482/1446075439453125 |
j-invariant |
L |
3.0323391503285 |
L(r)(E,1)/r! |
Ω |
0.12634746459702 |
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 |
12480bm5 1560j5 37440cc6 62400v6 |
Quadratic twists by: -4 8 -3 5 |