Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048bj |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.1035840255975E+29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4953981128,-133251604169232] |
[a1,a2,a3,a4,a6] |
j |
3282666836869681281754155591625/26942969374939856448258048 |
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 |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006o3 |
Quadratic twists by: -4 |