Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16960a |
Isogeny class |
Conductor |
16960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
1111490560 = 222 · 5 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268,-528] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:33:1] |
Generators of the group modulo torsion |
j |
8120601/4240 |
j-invariant |
L |
3.7007729143664 |
L(r)(E,1)/r! |
Ω |
1.2499325284744 |
Real period |
R |
2.9607781460679 |
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 |
16960j1 530b1 84800m1 |
Quadratic twists by: -4 8 5 |