Atkin-Lehner |
2- 3- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
84162v |
Isogeny class |
Conductor |
84162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17867635572359742 = 2 · 3 · 137 · 834 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-94559,-9167445] |
[a1,a2,a3,a4,a6] |
Generators |
[391232721330:-34000575748515:52313624] |
Generators of the group modulo torsion |
j |
19371912444793/3701749038 |
j-invariant |
L |
11.471028619248 |
L(r)(E,1)/r! |
Ω |
0.27586466721878 |
Real period |
R |
20.791043557952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6474h3 |
Quadratic twists by: 13 |