Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bm |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
282927955968 = 217 · 38 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56257,5117087] |
[a1,a2,a3,a4,a6] |
Generators |
[139:48:1] |
Generators of the group modulo torsion |
j |
150228113126114/2158569 |
j-invariant |
L |
9.475399193033 |
L(r)(E,1)/r! |
Ω |
0.89094307488273 |
Real period |
R |
1.3294058088638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168cf4 7896i4 |
Quadratic twists by: -4 8 |