Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120p |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-11575379574000 = -1 · 24 · 33 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3993,131769] |
[a1,a2,a3,a4,a6] |
Generators |
[0:363:1] |
Generators of the group modulo torsion |
j |
76032/125 |
j-invariant |
L |
6.0923033000939 |
L(r)(E,1)/r! |
Ω |
0.4891132942041 |
Real period |
R |
0.69198956265025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560bn1 87120h1 87120o1 |
Quadratic twists by: -4 -3 -11 |