Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976m |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1152023776985088 = -1 · 228 · 36 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12993,-1733985] |
[a1,a2,a3,a4,a6] |
j |
-925434168625/4394621952 |
j-invariant |
L |
2.42832555318 |
L(r)(E,1)/r! |
Ω |
0.20236046276053 |
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 |
38976bg1 1218f1 116928bh1 |
Quadratic twists by: -4 8 -3 |