Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960ec |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
478833349754880 = 219 · 37 · 5 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95628,11333392] |
[a1,a2,a3,a4,a6] |
Generators |
[194:288:1] |
Generators of the group modulo torsion |
j |
506071034209/2505630 |
j-invariant |
L |
4.628744973868 |
L(r)(E,1)/r! |
Ω |
0.52783311599522 |
Real period |
R |
1.0961667697559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bg3 12240bw4 16320cz3 |
Quadratic twists by: -4 8 -3 |