Atkin-Lehner |
2+ 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690n |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4.0636461914055E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-923,969875606] |
[a1,a2,a3,a4,a6] |
j |
-86826493040041/406364619140547159600 |
j-invariant |
L |
3.2091706858976 |
L(r)(E,1)/r! |
Ω |
0.13371544524573 |
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 |
77520cb3 29070bc3 48450ba3 |
Quadratic twists by: -4 -3 5 |