Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885f |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
36012584315565 = 37 · 5 · 117 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 5 11+ 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-192501,-32587482] |
[a1,a2,a3,a4,a6] |
Generators |
[-3217474632:1998384229:12649337] |
Generators of the group modulo torsion |
j |
4668056654282578921/213092214885 |
j-invariant |
L |
3.3496932345724 |
L(r)(E,1)/r! |
Ω |
0.22792527370215 |
Real period |
R |
14.696453711183 |
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 |
83655be2 27885n2 |
Quadratic twists by: -3 13 |