Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168dm |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
35350644672 = 26 · 36 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333380,73978614] |
[a1,a2,a3,a4,a6] |
Generators |
[337:-126:1] [145:5358:1] |
Generators of the group modulo torsion |
j |
64027075817331406144/552353823 |
j-invariant |
L |
9.6658943524904 |
L(r)(E,1)/r! |
Ω |
0.80559783594414 |
Real period |
R |
1.3331568351719 |
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 |
63168ch1 31584f2 |
Quadratic twists by: -4 8 |