Atkin-Lehner |
2- 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
17028b |
Isogeny class |
Conductor |
17028 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-377817264 = -1 · 24 · 33 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 11+ -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84,-887] |
[a1,a2,a3,a4,a6] |
Generators |
[42:277:1] |
Generators of the group modulo torsion |
j |
151732224/874577 |
j-invariant |
L |
5.7973728232141 |
L(r)(E,1)/r! |
Ω |
0.84835566507204 |
Real period |
R |
3.4168292037761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68112bg1 17028d2 |
Quadratic twists by: -4 -3 |