Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344w |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-474814187145648 = -1 · 24 · 311 · 72 · 434 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38100,3048383] |
[a1,a2,a3,a4,a6] |
Generators |
[73:810:1] |
Generators of the group modulo torsion |
j |
-524386048000000/40707663507 |
j-invariant |
L |
5.1673988313157 |
L(r)(E,1)/r! |
Ω |
0.51538789428821 |
Real period |
R |
2.506558113112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10836i1 14448j1 |
Quadratic twists by: -4 -3 |