Atkin-Lehner |
2- 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592bs |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
32 |
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 |
[45:192:1] [80:697:1] |
Generators of the group modulo torsion |
j |
335702375/14644872 |
j-invariant |
L |
10.363816261727 |
L(r)(E,1)/r! |
Ω |
0.37658814052867 |
Real period |
R |
3.4400367227062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592bk2 21648be2 |
Quadratic twists by: -4 8 |