Atkin-Lehner |
2- 3+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6018f |
Isogeny class |
Conductor |
6018 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28272 |
Modular degree for the optimal curve |
Δ |
-2331496502802 = -1 · 2 · 319 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 -6 -6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45852,-3798897] |
[a1,a2,a3,a4,a6] |
Generators |
[193105306109153478534:-2521338630193786657717:584935663341727144] |
Generators of the group modulo torsion |
j |
-10661029751141134273/2331496502802 |
j-invariant |
L |
5.447118987069 |
L(r)(E,1)/r! |
Ω |
0.16312639585073 |
Real period |
R |
33.392014570427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48144n1 18054h1 102306u1 |
Quadratic twists by: -4 -3 17 |