Atkin-Lehner |
2- 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830bj |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-298172735815680 = -1 · 230 · 33 · 5 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-360443,83386091] |
[a1,a2,a3,a4,a6] |
j |
-191808834096148160787/11043434659840 |
j-invariant |
L |
1.7231739357496 |
L(r)(E,1)/r! |
Ω |
0.51695218072488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
16830o3 84150f1 |
Quadratic twists by: -3 5 |