Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168dm |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-12036524457259008 = -1 · 212 · 312 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333145,74088359] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-3528:1] [-289:12096:1] |
Generators of the group modulo torsion |
j |
-998308954108593856/2938604603823 |
j-invariant |
L |
9.6658943524904 |
L(r)(E,1)/r! |
Ω |
0.40279891797207 |
Real period |
R |
0.33328920879298 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168ch2 31584f1 |
Quadratic twists by: -4 8 |