Atkin-Lehner |
2+ 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592m |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-345705283584 = -1 · 218 · 39 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -1 -5 -4 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-28816] |
[a1,a2,a3,a4,a6] |
Generators |
[94:-864:1] [40:108:1] |
Generators of the group modulo torsion |
j |
-117649/1809 |
j-invariant |
L |
7.4253209047399 |
L(r)(E,1)/r! |
Ω |
0.41138135713576 |
Real period |
R |
1.1281078942845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38592cf1 603e1 12864a1 |
Quadratic twists by: -4 8 -3 |