Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960di |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-11649816576000 = -1 · 214 · 39 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2052,-160272] |
[a1,a2,a3,a4,a6] |
j |
2963088/36125 |
j-invariant |
L |
1.4060902808802 |
L(r)(E,1)/r! |
Ω |
0.35152257053925 |
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 |
48960a1 12240d1 48960du1 |
Quadratic twists by: -4 8 -3 |