Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856t |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
444958272 = 26 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-345,2248] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:68:1] |
Generators of the group modulo torsion |
j |
97336000/9537 |
j-invariant |
L |
4.6673851570516 |
L(r)(E,1)/r! |
Ω |
1.6238580095994 |
Real period |
R |
1.4371284710604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856y1 107712eg2 17952i1 |
Quadratic twists by: -4 8 -3 |