Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
15708i |
Isogeny class |
Conductor |
15708 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
18999077328 = 24 · 32 · 73 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1369593,-617386068] |
[a1,a2,a3,a4,a6] |
Generators |
[131961960:-4671996693:64000] |
Generators of the group modulo torsion |
j |
17757369411623974912000/1187442333 |
j-invariant |
L |
6.1726355101091 |
L(r)(E,1)/r! |
Ω |
0.13955700684981 |
Real period |
R |
14.743402832154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832z3 47124s3 109956g3 |
Quadratic twists by: -4 -3 -7 |