Atkin-Lehner |
2+ 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78016f |
Isogeny class |
Conductor |
78016 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-34997353472 = -1 · 210 · 233 · 532 |
Discriminant |
Eigenvalues |
2+ 1 2 -2 4 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,-8993] |
[a1,a2,a3,a4,a6] |
j |
1257728/34177103 |
j-invariant |
L |
3.2121527780067 |
L(r)(E,1)/r! |
Ω |
0.53535879675086 |
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 |
78016l1 4876c1 |
Quadratic twists by: -4 8 |