Atkin-Lehner |
2- 3+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422s |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
82880855511552 = 29 · 32 · 76 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27370,1675511] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:1899:1] [-159:1507:1] |
Generators of the group modulo torsion |
j |
2267509399825330081/82880855511552 |
j-invariant |
L |
7.2145128383578 |
L(r)(E,1)/r! |
Ω |
0.60326082406278 |
Real period |
R |
0.11073327180395 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49266v2 114954cj2 |
Quadratic twists by: -3 -7 |