Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gz |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-40169819707776000 = -1 · 210 · 311 · 53 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30515,9866387] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:3250:1] |
Generators of the group modulo torsion |
j |
-19465109/248832 |
j-invariant |
L |
11.076829697762 |
L(r)(E,1)/r! |
Ω |
0.30798850271372 |
Real period |
R |
0.89912688300281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18150bp3 54450dh3 450c3 |
Quadratic twists by: -3 5 -11 |