Atkin-Lehner |
3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82365d |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.0907629498093E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22436521,-40605017596] |
[a1,a2,a3,a4,a6] |
j |
51748377040932542641/451894285546875 |
j-invariant |
L |
1.1104766733213 |
L(r)(E,1)/r! |
Ω |
0.069404797796692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845h3 |
Quadratic twists by: 17 |