Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720dj |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8510054400000000 = 219 · 37 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-357708,-82226032] |
[a1,a2,a3,a4,a6] |
Generators |
[733:7029:1] |
Generators of the group modulo torsion |
j |
26487576322129/44531250 |
j-invariant |
L |
4.595425717762 |
L(r)(E,1)/r! |
Ω |
0.19523660479869 |
Real period |
R |
5.8844315112943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bc4 13680br3 18240cb3 |
Quadratic twists by: -4 8 -3 |