Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160do |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
29733027840 = 217 · 32 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7585,251615] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:639:1] |
Generators of the group modulo torsion |
j |
368245795538/226845 |
j-invariant |
L |
8.5184432197449 |
L(r)(E,1)/r! |
Ω |
1.1642976324164 |
Real period |
R |
1.8290948515383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160i2 17040c2 |
Quadratic twists by: -4 8 |