Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440dx |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
8.5997263942714E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-232771467,-1292052387526] |
[a1,a2,a3,a4,a6] |
j |
467116778179943012100169/28800309694464000000 |
j-invariant |
L |
3.7248741834629 |
L(r)(E,1)/r! |
Ω |
0.038800772743513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6930bl6 18480bn6 |
Quadratic twists by: -4 -3 |