Atkin-Lehner |
3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
8541c |
Isogeny class |
Conductor |
8541 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2995783482627 = -1 · 39 · 134 · 732 |
Discriminant |
Eigenvalues |
1 3- 0 4 2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1017,84460] |
[a1,a2,a3,a4,a6] |
j |
-159661140625/4109442363 |
j-invariant |
L |
2.6844676148188 |
L(r)(E,1)/r! |
Ω |
0.67111690370471 |
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 |
2847a2 111033g2 |
Quadratic twists by: -3 13 |