Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gl |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1.5494619949528E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,388064,-164823436] |
[a1,a2,a3,a4,a6] |
Generators |
[7954:-711480:1] |
Generators of the group modulo torsion |
j |
13411719834479/32153832150 |
j-invariant |
L |
8.1736389758215 |
L(r)(E,1)/r! |
Ω |
0.11428081806542 |
Real period |
R |
1.1175375814938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bj6 2640q6 |
Quadratic twists by: -4 -7 |