Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050z |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1402500000 = -1 · 25 · 3 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4126,-102352] |
[a1,a2,a3,a4,a6] |
j |
-496981290961/89760 |
j-invariant |
L |
0.59569664314852 |
L(r)(E,1)/r! |
Ω |
0.29784832157445 |
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 |
84150gb1 5610bc1 |
Quadratic twists by: -3 5 |