Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592cv |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-3.0987686867935E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64830177,-200939119713] |
[a1,a2,a3,a4,a6] |
Generators |
[11640555:3538539216:125] |
Generators of the group modulo torsion |
j |
-229903410840151742620274/2364172887263121 |
j-invariant |
L |
9.1455513729066 |
L(r)(E,1)/r! |
Ω |
0.026602655391197 |
Real period |
R |
10.743231308389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592o2 21648e2 |
Quadratic twists by: -4 8 |