Atkin-Lehner |
3- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16965m |
Isogeny class |
Conductor |
16965 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-19609575028875 = -1 · 315 · 53 · 13 · 292 |
Discriminant |
Eigenvalues |
0 3- 5- 3 -5 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11892,-542718] |
[a1,a2,a3,a4,a6] |
Generators |
[182:1822:1] |
Generators of the group modulo torsion |
j |
-255129621889024/26899279875 |
j-invariant |
L |
4.7025175267322 |
L(r)(E,1)/r! |
Ω |
0.22723507891065 |
Real period |
R |
0.86227105084226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5655e1 84825r1 |
Quadratic twists by: -3 5 |