Atkin-Lehner |
2+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13160b |
Isogeny class |
Conductor |
13160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28864 |
Modular degree for the optimal curve |
Δ |
-28787500000000 = -1 · 28 · 511 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 4 -3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7359,-89659] |
[a1,a2,a3,a4,a6] |
j |
172139738479616/112451171875 |
j-invariant |
L |
3.030837617301 |
L(r)(E,1)/r! |
Ω |
0.37885470216263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26320c1 105280p1 118440cg1 65800h1 |
Quadratic twists by: -4 8 -3 5 |