Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846bd |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-657337521398922 = -1 · 2 · 39 · 7 · 134 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8986,-1191409] |
[a1,a2,a3,a4,a6] |
Generators |
[8381340:-72275197:85184] |
Generators of the group modulo torsion |
j |
110088190986983/901697560218 |
j-invariant |
L |
9.24615621848 |
L(r)(E,1)/r! |
Ω |
0.25365283825752 |
Real period |
R |
9.1130029157142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282i4 |
Quadratic twists by: -3 |