Atkin-Lehner |
17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23273b |
Isogeny class |
Conductor |
23273 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
741494932201 = 172 · 376 |
Discriminant |
Eigenvalues |
1 0 2 4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7786,-259233] |
[a1,a2,a3,a4,a6] |
Generators |
[-42243034886635859650:-15365775512445452929:791068156184125000] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
7.9124787679612 |
L(r)(E,1)/r! |
Ω |
0.50867668952885 |
Real period |
R |
31.110050571769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17a2 |
Quadratic twists by: 37 |