Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bl |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
56309649113088 = 217 · 34 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10753,-235681] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:336:1] |
Generators of the group modulo torsion |
j |
1049163349250/429608529 |
j-invariant |
L |
6.5586894661089 |
L(r)(E,1)/r! |
Ω |
0.4859648175791 |
Real period |
R |
0.42175696344882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168cc2 7896g2 |
Quadratic twists by: -4 8 |