Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352cl |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-778971561984 = -1 · 214 · 36 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-42464] |
[a1,a2,a3,a4,a6] |
j |
-1024/65219 |
j-invariant |
L |
2.457087630514 |
L(r)(E,1)/r! |
Ω |
0.40951460512113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352dk1 5544s1 4928k1 |
Quadratic twists by: -4 8 -3 |