Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bc |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.4400704E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18000603,29392030602] |
[a1,a2,a3,a4,a6] |
j |
8000804026934300763/1046875000000 |
j-invariant |
L |
0.73954938822684 |
L(r)(E,1)/r! |
Ω |
0.18488734700573 |
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 |
6030o3 48240bh1 |
Quadratic twists by: -4 -3 |