Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200bm |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1863000000 = -1 · 26 · 34 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42,-2088] |
[a1,a2,a3,a4,a6] |
j |
8000/1863 |
j-invariant |
L |
1.3956101023331 |
L(r)(E,1)/r! |
Ω |
0.69780504996039 |
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 |
55200ci1 110400hp1 2208g1 |
Quadratic twists by: -4 8 5 |