Atkin-Lehner |
2- 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830bp |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1984 |
Modular degree for the optimal curve |
Δ |
-50490 = -1 · 2 · 33 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11+ 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2,11] |
[a1,a2,a3,a4,a6] |
j |
-19683/1870 |
j-invariant |
L |
5.8574209757539 |
L(r)(E,1)/r! |
Ω |
2.9287104878769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16830h1 84150a1 |
Quadratic twists by: -3 5 |