Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680cj |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21678243840 = 214 · 37 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2748,54992] |
[a1,a2,a3,a4,a6] |
Generators |
[22:72:1] |
Generators of the group modulo torsion |
j |
192143824/1815 |
j-invariant |
L |
5.3459587986255 |
L(r)(E,1)/r! |
Ω |
1.2141651917922 |
Real period |
R |
0.55037391480627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680u2 7920bk2 10560by2 |
Quadratic twists by: -4 8 -3 |