Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890gg |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
15611904 |
Modular degree for the optimal curve |
Δ |
1.2596785113746E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13581707,-8916589461] |
[a1,a2,a3,a4,a6] |
j |
1345484890523641/611718750000 |
j-invariant |
L |
7.2242845590121 |
L(r)(E,1)/r! |
Ω |
0.082094145404436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630c1 127890em1 |
Quadratic twists by: -3 -7 |