Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298ci |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1.5821469802279E+24 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41441918,-82946702451] |
[a1,a2,a3,a4,a6] |
j |
6094802039817492721/1225076438754432 |
j-invariant |
L |
6.7581520750833 |
L(r)(E,1)/r! |
Ω |
0.06034064288861 |
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 |
29766n2 8118d2 |
Quadratic twists by: -3 -11 |