Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960s |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-11750400 = -1 · 210 · 33 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48,104] |
[a1,a2,a3,a4,a6] |
j |
442368/425 |
j-invariant |
L |
2.9694432804905 |
L(r)(E,1)/r! |
Ω |
1.4847216400865 |
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 |
48960dt1 3060a1 48960n1 |
Quadratic twists by: -4 8 -3 |