Atkin-Lehner |
3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9537c |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
66527798714817 = 3 · 11 · 1710 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 11+ -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52604,-4649140] |
[a1,a2,a3,a4,a6] |
Generators |
[-1082:1493:8] |
Generators of the group modulo torsion |
j |
666940371553/2756193 |
j-invariant |
L |
1.7851679762833 |
L(r)(E,1)/r! |
Ω |
0.31532092213086 |
Real period |
R |
5.661432055379 |
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 |
28611s4 104907l4 561d3 |
Quadratic twists by: -3 -11 17 |