Atkin-Lehner |
2+ 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152i |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
440 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-7151170477954627584 = -1 · 211 · 311 · 295 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 0 -6 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50056,128716436] |
[a1,a2,a3,a4,a6] |
Generators |
[2018:90828:1] [-302:10788:1] |
Generators of the group modulo torsion |
j |
-6772840714553618/3491782459938783 |
j-invariant |
L |
9.8270816642577 |
L(r)(E,1)/r! |
Ω |
0.19098603402177 |
Real period |
R |
0.11694193569741 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21576a1 129456h1 |
Quadratic twists by: -4 -3 |