Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856y |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
16 |
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] |
j |
97336000/9537 |
j-invariant |
L |
4.4589528577362 |
L(r)(E,1)/r! |
Ω |
1.1147382144075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856t1 107712dh2 17952c1 |
Quadratic twists by: -4 8 -3 |