Atkin-Lehner |
2+ 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73040a |
Isogeny class |
Conductor |
73040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1168640000 = 211 · 54 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38963,-2960238] |
[a1,a2,a3,a4,a6] |
Generators |
[192519:1657250:729] |
Generators of the group modulo torsion |
j |
3194117772606738/570625 |
j-invariant |
L |
5.4552389432332 |
L(r)(E,1)/r! |
Ω |
0.33981024019523 |
Real period |
R |
8.0268901543371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36520c4 |
Quadratic twists by: -4 |