Atkin-Lehner |
5- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
8165c |
Isogeny class |
Conductor |
8165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23474375 = 54 · 232 · 71 |
Discriminant |
Eigenvalues |
-1 0 5- 0 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-367,2784] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:66:1] |
Generators of the group modulo torsion |
j |
5452705332801/23474375 |
j-invariant |
L |
2.7610365426454 |
L(r)(E,1)/r! |
Ω |
2.1454235988834 |
Real period |
R |
0.64347118771379 |
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 |
73485e2 40825d2 |
Quadratic twists by: -3 5 |