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 |
Δ |
639221760 = 214 · 33 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252,944] |
[a1,a2,a3,a4,a6] |
j |
4000752/1445 |
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 |
48960dt2 3060a2 48960n2 |
Quadratic twists by: -4 8 -3 |