Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ct |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-690179434304532480 = -1 · 212 · 312 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5037,-39970222] |
[a1,a2,a3,a4,a6] |
Generators |
[65245:1280032:125] |
Generators of the group modulo torsion |
j |
4733169839/231139696095 |
j-invariant |
L |
4.4693958106343 |
L(r)(E,1)/r! |
Ω |
0.13192358493736 |
Real period |
R |
8.4696679002897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3465i1 18480cd1 |
Quadratic twists by: -4 -3 |