Atkin-Lehner |
2+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53482f |
Isogeny class |
Conductor |
53482 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13311509354 = 2 · 116 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 11- 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16821,832715] |
[a1,a2,a3,a4,a6] |
j |
297141543217/7514 |
j-invariant |
L |
2.334246112023 |
L(r)(E,1)/r! |
Ω |
1.167123056498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
442d2 |
Quadratic twists by: -11 |