Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050y |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1402500000000 = 28 · 3 · 510 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-182751,30054898] |
[a1,a2,a3,a4,a6] |
j |
43199583152847841/89760000 |
j-invariant |
L |
1.4694011011193 |
L(r)(E,1)/r! |
Ω |
0.73470055056013 |
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 |
84150fu1 5610bb1 |
Quadratic twists by: -3 5 |