Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32912f |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-524268676096 = -1 · 210 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1896,13664] |
[a1,a2,a3,a4,a6] |
j |
415292/289 |
j-invariant |
L |
1.1720063997267 |
L(r)(E,1)/r! |
Ω |
0.58600319986648 |
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 |
16456e2 272c2 |
Quadratic twists by: -4 -11 |