Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22785o |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
9.0165181612788E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1162771,-155626024] |
[a1,a2,a3,a4,a6] |
Generators |
[-661:18338:1] |
Generators of the group modulo torsion |
j |
1477808195227045921/766391398250625 |
j-invariant |
L |
4.1143759120773 |
L(r)(E,1)/r! |
Ω |
0.15385801749675 |
Real period |
R |
2.2284484417395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68355x4 113925p4 3255d3 |
Quadratic twists by: -3 5 -7 |