Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885d |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-2.9376571368809E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11+ 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12310386,-18562722612] |
[a1,a2,a3,a4,a6] |
Generators |
[2413601255834618308213914324:-632213340048070435740537461516:35218582921759591011113] |
Generators of the group modulo torsion |
j |
-1496598147927961/213092214885 |
j-invariant |
L |
1.8302827476269 |
L(r)(E,1)/r! |
Ω |
0.039984044844696 |
Real period |
R |
45.775327502158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83655bc2 27885m2 |
Quadratic twists by: -3 13 |