Atkin-Lehner |
2- 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690r |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-2.5532715037452E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,175359,768282921] |
[a1,a2,a3,a4,a6] |
j |
596358945261507937391/255327150374524980000 |
j-invariant |
L |
5.4402561429521 |
L(r)(E,1)/r! |
Ω |
0.1360064035738 |
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 |
77520bl3 29070p3 48450b3 |
Quadratic twists by: -4 -3 5 |