Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048bj |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3.5839908447299E+31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8443117768,78770668551664] |
[a1,a2,a3,a4,a6] |
j |
16250708692977087048493451847625/8749977648266474863605153792 |
j-invariant |
L |
1.728411681865 |
L(r)(E,1)/r! |
Ω |
0.018004288347955 |
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 |
6006o4 |
Quadratic twists by: -4 |