Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592y |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.1979289300709E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 11- -5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,441631,514185057] |
[a1,a2,a3,a4,a6] |
Generators |
[649:32768:1] |
Generators of the group modulo torsion |
j |
36338036700986567/456973621395456 |
j-invariant |
L |
5.331057936335 |
L(r)(E,1)/r! |
Ω |
0.13776219254396 |
Real period |
R |
1.6123974917048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592df2 2706f2 |
Quadratic twists by: -4 8 |