Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22785n |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
171125832353175 = 32 · 52 · 77 · 314 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-412581,-102035214] |
[a1,a2,a3,a4,a6] |
Generators |
[-2970:1827:8] |
Generators of the group modulo torsion |
j |
66018128748425281/1454545575 |
j-invariant |
L |
3.6395082681529 |
L(r)(E,1)/r! |
Ω |
0.18837480566198 |
Real period |
R |
4.8301420343383 |
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 |
68355w4 113925m4 3255c3 |
Quadratic twists by: -3 5 -7 |