Atkin-Lehner |
2- 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
78016r |
Isogeny class |
Conductor |
78016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
-66157568 = -1 · 210 · 23 · 532 |
Discriminant |
Eigenvalues |
2- 3 -4 0 -2 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-292,-1960] |
[a1,a2,a3,a4,a6] |
j |
-2688885504/64607 |
j-invariant |
L |
4.6131443097544 |
L(r)(E,1)/r! |
Ω |
0.5766430446154 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78016c1 19504i1 |
Quadratic twists by: -4 8 |