Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bj |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9120448512 = 216 · 32 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5313,147231] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:423:1] |
Generators of the group modulo torsion |
j |
253130786500/139167 |
j-invariant |
L |
8.762955791459 |
L(r)(E,1)/r! |
Ω |
1.2827932706128 |
Real period |
R |
1.7077879952121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168cb2 7896f2 |
Quadratic twists by: -4 8 |