Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2166d |
Isogeny class |
Conductor |
2166 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
772305182496 = 25 · 33 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31606280,68389818806] |
[a1,a2,a3,a4,a6] |
Generators |
[405780:-196894:125] |
Generators of the group modulo torsion |
j |
74220219816682217473/16416 |
j-invariant |
L |
2.9073689744586 |
L(r)(E,1)/r! |
Ω |
0.36530210425462 |
Real period |
R |
5.3058713880865 |
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 |
17328v3 69312t4 6498w3 54150bv4 |
Quadratic twists by: -4 8 -3 5 |