Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770f |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
1909976889600 = 28 · 35 · 52 · 134 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6344,-183274] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:118:1] |
Generators of the group modulo torsion |
j |
28230256467282169/1909976889600 |
j-invariant |
L |
3.1926255899849 |
L(r)(E,1)/r! |
Ω |
0.53723057015144 |
Real period |
R |
0.29713737149069 |
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 |
50310cg1 83850bm1 |
Quadratic twists by: -3 5 |