Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22785m |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
66468743775 = 36 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7964,-273913] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:40:1] |
Generators of the group modulo torsion |
j |
474734543401/564975 |
j-invariant |
L |
6.3658357786886 |
L(r)(E,1)/r! |
Ω |
0.50542219416462 |
Real period |
R |
2.0991809264234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68355z2 113925u2 465a2 |
Quadratic twists by: -3 5 -7 |