Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314bc |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
43037261256132 = 22 · 33 · 119 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16721,774205] |
[a1,a2,a3,a4,a6] |
j |
8120601/676 |
j-invariant |
L |
2.5064455104135 |
L(r)(E,1)/r! |
Ω |
0.62661137760348 |
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 |
28314a1 28314b1 |
Quadratic twists by: -3 -11 |