Atkin-Lehner |
3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11661m |
Isogeny class |
Conductor |
11661 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.6775812654597E+26 |
Discriminant |
Eigenvalues |
-1 3- 0 2 6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-291623108,-1747703639397] |
[a1,a2,a3,a4,a6] |
j |
568236858838659098439625/55473114131090524557 |
j-invariant |
L |
1.7646264106013 |
L(r)(E,1)/r! |
Ω |
0.036763050220861 |
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 |
34983i2 897d2 |
Quadratic twists by: -3 13 |