Atkin-Lehner |
2- 3+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58344f |
Isogeny class |
Conductor |
58344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6977845315584 = 211 · 34 · 114 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122944,-16550996] |
[a1,a2,a3,a4,a6] |
Generators |
[-5433:100:27] |
Generators of the group modulo torsion |
j |
100350446414931074/3407151033 |
j-invariant |
L |
2.9026099788742 |
L(r)(E,1)/r! |
Ω |
0.25496073963089 |
Real period |
R |
5.6922685101348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116688g4 |
Quadratic twists by: -4 |