Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314m |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
2.2845968624823E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 11+ 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2170944,-992915456] |
[a1,a2,a3,a4,a6] |
j |
658275956099/132907008 |
j-invariant |
L |
1.0090892174552 |
L(r)(E,1)/r! |
Ω |
0.12613615218215 |
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 |
9438t1 28314bp1 |
Quadratic twists by: -3 -11 |