Atkin-Lehner |
2- 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
78016q |
Isogeny class |
Conductor |
78016 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-3506351104 = -1 · 210 · 23 · 533 |
Discriminant |
Eigenvalues |
2- 2 -1 4 4 5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,179,2637] |
[a1,a2,a3,a4,a6] |
j |
615962624/3424171 |
j-invariant |
L |
6.0914123627861 |
L(r)(E,1)/r! |
Ω |
1.0152354013069 |
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 |
78016b1 19504d1 |
Quadratic twists by: -4 8 |