Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42048d |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-11934231552 = -1 · 210 · 37 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 2 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-840,-10744] |
[a1,a2,a3,a4,a6] |
j |
-87808000/15987 |
j-invariant |
L |
1.7562382429402 |
L(r)(E,1)/r! |
Ω |
0.43905956071708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048bm1 5256b1 14016c1 |
Quadratic twists by: -4 8 -3 |