Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cs |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
65060864000000 = 220 · 56 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11852,309904] |
[a1,a2,a3,a4,a6] |
Generators |
[18:320:1] |
Generators of the group modulo torsion |
j |
702358299369/248187500 |
j-invariant |
L |
5.9764637652483 |
L(r)(E,1)/r! |
Ω |
0.56893149039185 |
Real period |
R |
0.87539300513622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880br2 16720w2 |
Quadratic twists by: -4 8 |