Atkin-Lehner |
2- 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692p |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
126793600144848 = 24 · 316 · 72 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14304,-374267] |
[a1,a2,a3,a4,a6] |
j |
27749087444992/10870507557 |
j-invariant |
L |
1.8056486765495 |
L(r)(E,1)/r! |
Ω |
0.45141216901363 |
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 |
18564i1 |
Quadratic twists by: -3 |