Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325bj |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
227930677734375 = 39 · 59 · 72 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-163805,-25466178] |
[a1,a2,a3,a4,a6] |
Generators |
[-232:210:1] |
Generators of the group modulo torsion |
j |
341385539669/160083 |
j-invariant |
L |
2.6562708304178 |
L(r)(E,1)/r! |
Ω |
0.23731773566325 |
Real period |
R |
1.3991109972218 |
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 |
5775k2 17325bp2 121275fv2 |
Quadratic twists by: -3 5 -7 |