Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488z |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
127946483788032 = 28 · 33 · 78 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48975,4136018] |
[a1,a2,a3,a4,a6] |
Generators |
[461:-8918:1] |
Generators of the group modulo torsion |
j |
1879504269750000/18510776011 |
j-invariant |
L |
5.89272404738 |
L(r)(E,1)/r! |
Ω |
0.58879844008946 |
Real period |
R |
0.31275155200062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124488c2 |
Quadratic twists by: -3 |