Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592dk |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-959766331392 = -1 · 219 · 32 · 112 · 412 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1121,48927] |
[a1,a2,a3,a4,a6] |
j |
-594823321/3661218 |
j-invariant |
L |
6.08129305845 |
L(r)(E,1)/r! |
Ω |
0.76016163241776 |
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 |
86592d2 21648o2 |
Quadratic twists by: -4 8 |