Atkin-Lehner |
2- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78016o |
Isogeny class |
Conductor |
78016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
116480 |
Modular degree for the optimal curve |
Δ |
-349313207296 = -1 · 210 · 235 · 53 |
Discriminant |
Eigenvalues |
2- 2 -3 -4 0 -3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-557,29069] |
[a1,a2,a3,a4,a6] |
j |
-18696865792/341126179 |
j-invariant |
L |
1.6153084822993 |
L(r)(E,1)/r! |
Ω |
0.80765421950561 |
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 |
78016i1 19504b1 |
Quadratic twists by: -4 8 |