Atkin-Lehner |
2- 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17088k |
Isogeny class |
Conductor |
17088 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
-12457152 = -1 · 26 · 37 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,37,159] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] |
Generators of the group modulo torsion |
j |
85184000/194643 |
j-invariant |
L |
5.9903057940208 |
L(r)(E,1)/r! |
Ω |
1.5655354940209 |
Real period |
R |
0.54662316749937 |
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 |
17088h1 8544b1 51264bg1 |
Quadratic twists by: -4 8 -3 |