Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22785o |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
97028346944250225 = 36 · 52 · 78 · 314 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-927326,-343464045] |
[a1,a2,a3,a4,a6] |
Generators |
[-545:625:1] |
Generators of the group modulo torsion |
j |
749605580278405201/824727341025 |
j-invariant |
L |
4.1143759120773 |
L(r)(E,1)/r! |
Ω |
0.15385801749675 |
Real period |
R |
4.4568968834791 |
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 |
68355x2 113925p2 3255d2 |
Quadratic twists by: -3 5 -7 |