Atkin-Lehner |
2+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
80344a |
Isogeny class |
Conductor |
80344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16633755282738176 = 210 · 119 · 832 |
Discriminant |
Eigenvalues |
2+ 0 2 4 11+ 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65219,1610510] |
[a1,a2,a3,a4,a6] |
Generators |
[-234061795:-62499665844:44738875] |
Generators of the group modulo torsion |
j |
12706092/6889 |
j-invariant |
L |
8.6522657712522 |
L(r)(E,1)/r! |
Ω |
0.34077038712087 |
Real period |
R |
12.69515500572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80344e2 |
Quadratic twists by: -11 |