Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36192m |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
9578357568 = 26 · 34 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2842,57188] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:174:1] |
Generators of the group modulo torsion |
j |
39679734987712/149661837 |
j-invariant |
L |
8.5344168561657 |
L(r)(E,1)/r! |
Ω |
1.2995516984189 |
Real period |
R |
1.6418001812756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36192d1 72384cg2 108576ba1 |
Quadratic twists by: -4 8 -3 |