Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160be |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-147225600000000 = -1 · 216 · 34 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1441,-584641] |
[a1,a2,a3,a4,a6] |
Generators |
[971:30240:1] |
Generators of the group modulo torsion |
j |
-5052857764/2246484375 |
j-invariant |
L |
8.5313571302321 |
L(r)(E,1)/r! |
Ω |
0.26003666523793 |
Real period |
R |
4.1010356758392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160bz3 8520j4 |
Quadratic twists by: -4 8 |