Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800eg |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
4866048000000 = 220 · 33 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8833,-298463] |
[a1,a2,a3,a4,a6] |
j |
18609625/1188 |
j-invariant |
L |
0.98885698686922 |
L(r)(E,1)/r! |
Ω |
0.49442849280796 |
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 |
52800db1 13200ck1 2112x1 |
Quadratic twists by: -4 8 5 |