Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8118i |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-267495909516 = -1 · 22 · 36 · 113 · 413 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 11- 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,684,-24084] |
[a1,a2,a3,a4,a6] |
j |
48507321023/366935404 |
j-invariant |
L |
1.9487794458567 |
L(r)(E,1)/r! |
Ω |
0.48719486146417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
64944bk2 902b2 89298cg2 |
Quadratic twists by: -4 -3 -11 |