Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880cf |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
150316620185600 = 222 · 52 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1502348,-708767472] |
[a1,a2,a3,a4,a6] |
Generators |
[10274:1033600:1] |
Generators of the group modulo torsion |
j |
1430524893619449081/573412400 |
j-invariant |
L |
3.8382683572197 |
L(r)(E,1)/r! |
Ω |
0.13636625990194 |
Real period |
R |
3.5183449702416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880l4 16720bi3 |
Quadratic twists by: -4 8 |