Atkin-Lehner |
2+ 3+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17112a |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-103555399744512 = -1 · 210 · 32 · 233 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 -6 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3632,498012] |
[a1,a2,a3,a4,a6] |
Generators |
[53:672:1] |
Generators of the group modulo torsion |
j |
-5175840017092/101128320063 |
j-invariant |
L |
4.3245126920829 |
L(r)(E,1)/r! |
Ω |
0.50197206882341 |
Real period |
R |
4.3075232275566 |
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 |
34224n1 51336r1 |
Quadratic twists by: -4 -3 |