Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600x |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
322500000000 = 28 · 3 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1908,16188] |
[a1,a2,a3,a4,a6] |
j |
192143824/80625 |
j-invariant |
L |
1.7451680565885 |
L(r)(E,1)/r! |
Ω |
0.87258402832044 |
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 |
25800w1 10320c1 |
Quadratic twists by: -4 5 |