Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168x |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
159776031138048 = 28 · 32 · 132 · 177 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19748,-884736] |
[a1,a2,a3,a4,a6] |
Generators |
[198:1734:1] |
Generators of the group modulo torsion |
j |
137842000/25857 |
j-invariant |
L |
7.9204264762425 |
L(r)(E,1)/r! |
Ω |
0.40796011360619 |
Real period |
R |
1.2134192498209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304h1 |
Quadratic twists by: 17 |