Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890ge |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
906590782030500 = 22 · 312 · 53 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25367,571659] |
[a1,a2,a3,a4,a6] |
j |
21047437081/10570500 |
j-invariant |
L |
5.2869502427441 |
L(r)(E,1)/r! |
Ω |
0.44057913334608 |
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 |
42630a1 2610l1 |
Quadratic twists by: -3 -7 |