Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298w |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.3181871484055E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1960722,1390422996] |
[a1,a2,a3,a4,a6] |
Generators |
[-525:14964:1] |
Generators of the group modulo torsion |
j |
645487763368967/1020688998912 |
j-invariant |
L |
2.3905738042009 |
L(r)(E,1)/r! |
Ω |
0.10399239014058 |
Real period |
R |
2.8734960892459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999713818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766bt2 8118s2 |
Quadratic twists by: -3 -11 |