Atkin-Lehner |
2- 3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
85140k |
Isogeny class |
Conductor |
85140 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-20850652968750000 = -1 · 24 · 38 · 510 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32892,-6556943] |
[a1,a2,a3,a4,a6] |
j |
337401528664064/1787607421875 |
j-invariant |
L |
2.3105973054057 |
L(r)(E,1)/r! |
Ω |
0.19254978051152 |
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 |
28380h1 |
Quadratic twists by: -3 |