Atkin-Lehner |
2+ 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850f |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-3.58445312E+20 |
Discriminant |
Eigenvalues |
2+ -3 5+ 0 2 -5 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1301183,-709806659] |
[a1,a2,a3,a4,a6] |
j |
15592603665638756511/22940499968000000 |
j-invariant |
L |
0.36058533958578 |
L(r)(E,1)/r! |
Ω |
0.090146326360352 |
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 |
14570h1 |
Quadratic twists by: 5 |