Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17112l |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-2269359216 = -1 · 24 · 32 · 232 · 313 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 0 4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6640,-210499] |
[a1,a2,a3,a4,a6] |
Generators |
[94:69:1] |
Generators of the group modulo torsion |
j |
-2023826935542016/141834951 |
j-invariant |
L |
6.4250269722227 |
L(r)(E,1)/r! |
Ω |
0.26443580731834 |
Real period |
R |
3.0371392576233 |
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 |
34224e1 51336j1 |
Quadratic twists by: -4 -3 |