Atkin-Lehner |
3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22743k |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25516076733 = 312 · 7 · 193 |
Discriminant |
Eigenvalues |
1 3- 4 7+ 4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6480,-199017] |
[a1,a2,a3,a4,a6] |
j |
6018636259/5103 |
j-invariant |
L |
4.2571088416529 |
L(r)(E,1)/r! |
Ω |
0.53213860520661 |
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 |
7581d2 22743l2 |
Quadratic twists by: -3 -19 |