Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bj |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-3056320512 = -1 · 214 · 34 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273,3087] |
[a1,a2,a3,a4,a6] |
Generators |
[3:48:1] |
Generators of the group modulo torsion |
j |
-137842000/186543 |
j-invariant |
L |
8.762955791459 |
L(r)(E,1)/r! |
Ω |
1.2827932706128 |
Real period |
R |
0.85389399760603 |
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 |
63168cb1 7896f1 |
Quadratic twists by: -4 8 |