Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885m |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
Δ |
-6086126749330485 = -1 · 37 · 5 · 117 · 134 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 11- 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72842,-8477139] |
[a1,a2,a3,a4,a6] |
Generators |
[340:2321:1] |
Generators of the group modulo torsion |
j |
-1496598147927961/213092214885 |
j-invariant |
L |
6.2717507286613 |
L(r)(E,1)/r! |
Ω |
0.144164523888 |
Real period |
R |
6.214874267575 |
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 |
83655j2 27885d2 |
Quadratic twists by: -3 13 |