Atkin-Lehner |
2+ 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592h |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1896873984 = -1 · 220 · 33 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1548,23536] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:192:1] [8:108:1] |
Generators of the group modulo torsion |
j |
-57960603/268 |
j-invariant |
L |
8.5668824268753 |
L(r)(E,1)/r! |
Ω |
1.4880859552454 |
Real period |
R |
0.71962261291744 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38592bk1 1206a1 38592g1 |
Quadratic twists by: -4 8 -3 |