Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440dm |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20331821664000 = 28 · 37 · 53 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16383,777418] |
[a1,a2,a3,a4,a6] |
j |
2605772594896/108945375 |
j-invariant |
L |
2.7069810295422 |
L(r)(E,1)/r! |
Ω |
0.67674525754752 |
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 |
13860l2 18480dh2 |
Quadratic twists by: -4 -3 |