Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160cx |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
230040000 = 26 · 34 · 54 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7676,-261426] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1302:1] [349:6300:1] |
Generators of the group modulo torsion |
j |
781637187416896/3594375 |
j-invariant |
L |
11.362345572225 |
L(r)(E,1)/r! |
Ω |
0.51004819881925 |
Real period |
R |
11.138501810734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160bu1 34080ba4 |
Quadratic twists by: -4 8 |