Atkin-Lehner |
2- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
86320bc |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-140270000 = -1 · 24 · 54 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- 5 -1 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-345,-2650] |
[a1,a2,a3,a4,a6] |
Generators |
[170:65:8] |
Generators of the group modulo torsion |
j |
-284655271936/8766875 |
j-invariant |
L |
10.49819068647 |
L(r)(E,1)/r! |
Ω |
0.55274217926713 |
Real period |
R |
2.3741156085758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21580d1 |
Quadratic twists by: -4 |