Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830u |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
25629596467200 = 214 · 39 · 52 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7920,-117504] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:411:1] |
Generators of the group modulo torsion |
j |
75370704203521/35157196800 |
j-invariant |
L |
2.7037982108395 |
L(r)(E,1)/r! |
Ω |
0.52940042684831 |
Real period |
R |
1.2768209439007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bk1 84150fz1 |
Quadratic twists by: -3 5 |