Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
11682k |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6.8579992017819E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,461142,379650676] |
[a1,a2,a3,a4,a6] |
j |
14876463137223919967/94074063124580352 |
j-invariant |
L |
1.6982312701825 |
L(r)(E,1)/r! |
Ω |
0.14151927251521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456bd2 3894h2 128502ce2 |
Quadratic twists by: -4 -3 -11 |