Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43056bm |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-15042049671168 = -1 · 216 · 310 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 6 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22395,-1303382] |
[a1,a2,a3,a4,a6] |
j |
-415996269625/5037552 |
j-invariant |
L |
1.5599426148941 |
L(r)(E,1)/r! |
Ω |
0.19499282688154 |
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 |
5382n1 14352bi1 |
Quadratic twists by: -4 -3 |