Atkin-Lehner |
2- 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048bc |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.4896106734842E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3004464,-1915523136] |
[a1,a2,a3,a4,a6] |
j |
732259344458458209457/36367448083110144 |
j-invariant |
L |
0.46010256298454 |
L(r)(E,1)/r! |
Ω |
0.11502564062289 |
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 |
6006bf2 |
Quadratic twists by: -4 |