Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120y |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1693612800 = -1 · 28 · 37 · 52 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- -2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,-1892] |
[a1,a2,a3,a4,a6] |
Generators |
[9:5:1] |
Generators of the group modulo torsion |
j |
11264/75 |
j-invariant |
L |
6.4317748456708 |
L(r)(E,1)/r! |
Ω |
0.74550614512447 |
Real period |
R |
2.1568483673519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560bu1 29040bk1 87120ba1 |
Quadratic twists by: -4 -3 -11 |