Atkin-Lehner |
2+ 3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17622f |
Isogeny class |
Conductor |
17622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
282621636 = 22 · 38 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-216,972] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:48:1] |
Generators of the group modulo torsion |
j |
1532808577/387684 |
j-invariant |
L |
4.8820027990645 |
L(r)(E,1)/r! |
Ω |
1.625572352808 |
Real period |
R |
1.5016258090977 |
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 |
5874f1 |
Quadratic twists by: -3 |