Atkin-Lehner |
3- 13- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21489f |
Isogeny class |
Conductor |
21489 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
-4.1101619415748E+20 |
Discriminant |
Eigenvalues |
1 3- -1 -1 4 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,472641,967398883] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:30573:1] |
Generators of the group modulo torsion |
j |
11676675482795400411671/411016194157475225709 |
j-invariant |
L |
7.0788805711815 |
L(r)(E,1)/r! |
Ω |
0.12700491622536 |
Real period |
R |
0.25804194208355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64467r1 |
Quadratic twists by: -3 |