Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bn |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-27506884608 = -1 · 214 · 36 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,751,-753] |
[a1,a2,a3,a4,a6] |
Generators |
[19:144:1] |
Generators of the group modulo torsion |
j |
2855256752/1678887 |
j-invariant |
L |
6.8417916782168 |
L(r)(E,1)/r! |
Ω |
0.69586786751394 |
Real period |
R |
0.81933558524491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168cg2 7896h2 |
Quadratic twists by: -4 8 |