Atkin-Lehner |
2- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78016n |
Isogeny class |
Conductor |
78016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-79888384 = -1 · 216 · 23 · 53 |
Discriminant |
Eigenvalues |
2- 2 3 -2 4 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-769,8481] |
[a1,a2,a3,a4,a6] |
j |
-768400132/1219 |
j-invariant |
L |
3.8532802655838 |
L(r)(E,1)/r! |
Ω |
1.9266401559732 |
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 |
78016h1 19504c1 |
Quadratic twists by: -4 8 |