Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592l |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
2.5011027571856E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736513,36199681] |
[a1,a2,a3,a4,a6] |
j |
168548786637666625/95409498488832 |
j-invariant |
L |
1.4624133780588 |
L(r)(E,1)/r! |
Ω |
0.18280167507407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592cr1 2706o1 |
Quadratic twists by: -4 8 |