Atkin-Lehner |
2- 3+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144g |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
479808 |
Modular degree for the optimal curve |
Δ |
-158467154302446336 = -1 · 28 · 321 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 -3 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35077,-19307111] |
[a1,a2,a3,a4,a6] |
Generators |
[333:2414:1] |
Generators of the group modulo torsion |
j |
-18645045872754688/619012321493931 |
j-invariant |
L |
3.1433782134106 |
L(r)(E,1)/r! |
Ω |
0.14100970321444 |
Real period |
R |
5.5729821099912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12036c1 |
Quadratic twists by: -4 |