Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168bi |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4159991808 = -1 · 212 · 32 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55,-3081] |
[a1,a2,a3,a4,a6] |
Generators |
[19:72:1] |
Generators of the group modulo torsion |
j |
4410944/1015623 |
j-invariant |
L |
4.7150720038642 |
L(r)(E,1)/r! |
Ω |
0.65268406570217 |
Real period |
R |
1.8060315286469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168v2 31584c1 |
Quadratic twists by: -4 8 |