Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830c |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
625722570000 = 24 · 39 · 54 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3255,61325] |
[a1,a2,a3,a4,a6] |
Generators |
[5:210:1] |
Generators of the group modulo torsion |
j |
193802978403/31790000 |
j-invariant |
L |
3.4505332887664 |
L(r)(E,1)/r! |
Ω |
0.87252015863017 |
Real period |
R |
0.98866864411009 |
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 |
16830bu1 84150dy1 |
Quadratic twists by: -3 5 |