Atkin-Lehner |
2+ 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168m |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
82084036608 = 216 · 34 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 6 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48321,4104513] |
[a1,a2,a3,a4,a6] |
j |
190397178982084/1252503 |
j-invariant |
L |
3.8620144527014 |
L(r)(E,1)/r! |
Ω |
0.96550361451138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168dl2 7896k2 |
Quadratic twists by: -4 8 |