Atkin-Lehner |
2+ 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78016d |
Isogeny class |
Conductor |
78016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1248256 = -1 · 210 · 23 · 53 |
Discriminant |
Eigenvalues |
2+ 0 1 2 0 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32,-88] |
[a1,a2,a3,a4,a6] |
j |
-3538944/1219 |
j-invariant |
L |
1.973003153102 |
L(r)(E,1)/r! |
Ω |
0.98650158174136 |
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 |
78016j1 4876b1 |
Quadratic twists by: -4 8 |