Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560ck |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
82021750615815120 = 24 · 314 · 5 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11904222,-15808820731] |
[a1,a2,a3,a4,a6] |
Generators |
[95892821750:-813935741033403:1331] |
Generators of the group modulo torsion |
j |
9028656748079104/3969405 |
j-invariant |
L |
6.9715417130053 |
L(r)(E,1)/r! |
Ω |
0.081278243924283 |
Real period |
R |
21.44344346165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120ci1 14520c1 3960j1 |
Quadratic twists by: -4 -3 -11 |