Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592bk |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3839065325568 = -1 · 221 · 32 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,927,93951] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:297:1] |
Generators of the group modulo torsion |
j |
335702375/14644872 |
j-invariant |
L |
6.0081466811851 |
L(r)(E,1)/r! |
Ω |
0.59498203164186 |
Real period |
R |
2.5245076152698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592bs2 2706a2 |
Quadratic twists by: -4 8 |