Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22785i |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
54514892578125 = 3 · 512 · 74 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 3 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-94831,-11266244] |
[a1,a2,a3,a4,a6] |
Generators |
[-38658:15517:216] |
Generators of the group modulo torsion |
j |
39281414898417664/22705078125 |
j-invariant |
L |
4.6207840810068 |
L(r)(E,1)/r! |
Ω |
0.2720674947714 |
Real period |
R |
2.8306603874707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68355t2 113925c2 22785f2 |
Quadratic twists by: -3 5 -7 |