Atkin-Lehner |
3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22743a |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6615279153 = 39 · 72 · 193 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 2 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2661,53360] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:340:1] |
Generators of the group modulo torsion |
j |
15438249/49 |
j-invariant |
L |
6.9698444760518 |
L(r)(E,1)/r! |
Ω |
1.3393827119957 |
Real period |
R |
2.6018868295182 |
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 |
22743d2 22743c2 |
Quadratic twists by: -3 -19 |