Atkin-Lehner |
2+ 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168d |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
223450988544 = 215 · 32 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131649,-18341631] |
[a1,a2,a3,a4,a6] |
Generators |
[520:7317:1] |
Generators of the group modulo torsion |
j |
7700692288012424/6819183 |
j-invariant |
L |
3.304335442152 |
L(r)(E,1)/r! |
Ω |
0.25063684307559 |
Real period |
R |
6.5918789148885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bp2 31584u2 |
Quadratic twists by: -4 8 |