Atkin-Lehner |
3+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
9243b |
Isogeny class |
Conductor |
9243 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
262787733 = 39 · 132 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 2 -2 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11369,-463724] |
[a1,a2,a3,a4,a6] |
j |
8255880653931/13351 |
j-invariant |
L |
1.849404908404 |
L(r)(E,1)/r! |
Ω |
0.46235122710101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9243a2 120159b2 |
Quadratic twists by: -3 13 |