Atkin-Lehner |
2+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27950b |
Isogeny class |
Conductor |
27950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-3577600000000 = -1 · 214 · 58 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5042,-163884] |
[a1,a2,a3,a4,a6] |
j |
-907320368241/228966400 |
j-invariant |
L |
0.55914203376703 |
L(r)(E,1)/r! |
Ω |
0.27957101688356 |
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 |
5590h1 |
Quadratic twists by: 5 |