Atkin-Lehner |
2- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320bk |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
64581193318400 = 214 · 52 · 116 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11+ 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28160,-1786700] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:80:1] |
Generators of the group modulo torsion |
j |
602944222256641/15766892900 |
j-invariant |
L |
3.9430390472011 |
L(r)(E,1)/r! |
Ω |
0.36913317573816 |
Real period |
R |
2.6704718702129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790p2 |
Quadratic twists by: -4 |