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 |
7596599853249 = 32 · 112 · 178 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 11+ -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4919,4916] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:295:1] |
Generators of the group modulo torsion |
j |
545338513/314721 |
j-invariant |
L |
1.7851679762833 |
L(r)(E,1)/r! |
Ω |
0.63064184426171 |
Real period |
R |
2.8307160276895 |
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 |
28611s2 104907l2 561d2 |
Quadratic twists by: -3 -11 17 |