Atkin-Lehner |
2- 3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422r |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-80823748508622 = -1 · 2 · 316 · 74 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2527,434243] |
[a1,a2,a3,a4,a6] |
Generators |
[-55890:663661:1000] |
Generators of the group modulo torsion |
j |
-1784638177065073/80823748508622 |
j-invariant |
L |
7.6296916171142 |
L(r)(E,1)/r! |
Ω |
0.50551961868083 |
Real period |
R |
7.546385278799 |
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 |
49266z3 114954cq3 |
Quadratic twists by: -3 -7 |