Atkin-Lehner |
2+ 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846g |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
444707632820178 = 2 · 38 · 74 · 132 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-148671,22078035] |
[a1,a2,a3,a4,a6] |
j |
498513145416992497/610024187682 |
j-invariant |
L |
2.1071727512452 |
L(r)(E,1)/r! |
Ω |
0.52679318781129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282s3 |
Quadratic twists by: -3 |