Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160bn |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
393289924608000 = 222 · 37 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1544268,738638192] |
[a1,a2,a3,a4,a6] |
Generators |
[334:16128:1] |
Generators of the group modulo torsion |
j |
2131200347946769/2058000 |
j-invariant |
L |
5.0697618724471 |
L(r)(E,1)/r! |
Ω |
0.4474340869028 |
Real period |
R |
0.94422881135795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160dr3 630f3 6720l3 100800cx3 |
Quadratic twists by: -4 8 -3 5 |