Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
31584r |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
472196971008 = 29 · 33 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2752,45592] |
[a1,a2,a3,a4,a6] |
j |
4503569204744/922259709 |
j-invariant |
L |
3.5398606878105 |
L(r)(E,1)/r! |
Ω |
0.88496517195289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31584w3 63168dr3 94752q3 |
Quadratic twists by: -4 8 -3 |