Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85176cg |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-5023602627773184 = -1 · 28 · 312 · 75 · 133 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 4 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42276,-4777292] |
[a1,a2,a3,a4,a6] |
Generators |
[377:5733:1] |
Generators of the group modulo torsion |
j |
-20380171264/12252303 |
j-invariant |
L |
9.78257319939 |
L(r)(E,1)/r! |
Ω |
0.16202200003161 |
Real period |
R |
1.5094513704892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28392m1 85176z1 |
Quadratic twists by: -3 13 |