Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680fu |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3667991040000 = 212 · 34 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4025,-35577] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:165:1] [-47:228:1] |
Generators of the group modulo torsion |
j |
1761040374976/895505625 |
j-invariant |
L |
14.620756071039 |
L(r)(E,1)/r! |
Ω |
0.6326337919527 |
Real period |
R |
1.444433203761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999947715 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680et2 63840bf1 |
Quadratic twists by: -4 8 |