Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885r |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22208268879225 = 32 · 52 · 112 · 138 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8454,-195869] |
[a1,a2,a3,a4,a6] |
Generators |
[3443:200238:1] |
Generators of the group modulo torsion |
j |
13841287201/4601025 |
j-invariant |
L |
5.7309170719703 |
L(r)(E,1)/r! |
Ω |
0.51118727628924 |
Real period |
R |
5.6054965937059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83655w2 2145g2 |
Quadratic twists by: -3 13 |