Atkin-Lehner |
3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9537c |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-486629249422833 = -1 · 34 · 114 · 177 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 11+ -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19646,63872] |
[a1,a2,a3,a4,a6] |
Generators |
[1:288:1] |
Generators of the group modulo torsion |
j |
34741712447/20160657 |
j-invariant |
L |
1.7851679762833 |
L(r)(E,1)/r! |
Ω |
0.31532092213086 |
Real period |
R |
1.4153580138447 |
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 |
28611s3 104907l3 561d4 |
Quadratic twists by: -3 -11 17 |