Atkin-Lehner |
2- 5+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
8690f |
Isogeny class |
Conductor |
8690 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-1.0445164104418E+25 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-107381331,455637600545] |
[a1,a2,a3,a4,a6] |
j |
-136933610955195518752009384369/10445164104417968750000000 |
j-invariant |
L |
2.9762726512529 |
L(r)(E,1)/r! |
Ω |
0.07086363455364 |
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 |
69520r2 78210r2 43450g2 95590c2 |
Quadratic twists by: -4 -3 5 -11 |