Atkin-Lehner |
3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47685g |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1.2000602939128E+21 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2554375,554803883] |
[a1,a2,a3,a4,a6] |
Generators |
[6959:596062:1] |
Generators of the group modulo torsion |
j |
76363175346569216/49717529296875 |
j-invariant |
L |
5.0224057960823 |
L(r)(E,1)/r! |
Ω |
0.096143983864971 |
Real period |
R |
0.36276651566086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2805c2 |
Quadratic twists by: 17 |