Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160do |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-9422438400 = -1 · 216 · 34 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,5375] |
[a1,a2,a3,a4,a6] |
Generators |
[5:60:1] |
Generators of the group modulo torsion |
j |
-96550276/143775 |
j-invariant |
L |
8.5184432197449 |
L(r)(E,1)/r! |
Ω |
1.1642976324164 |
Real period |
R |
0.91454742576914 |
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 |
68160i1 17040c1 |
Quadratic twists by: -4 8 |