Atkin-Lehner |
2- 3- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8742k |
Isogeny class |
Conductor |
8742 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-167021513622 = -1 · 2 · 33 · 313 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-243,-19737] |
[a1,a2,a3,a4,a6] |
j |
-1587282504625/167021513622 |
j-invariant |
L |
4.0632661680527 |
L(r)(E,1)/r! |
Ω |
0.45147401867252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69936j2 26226k2 |
Quadratic twists by: -4 -3 |