Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880dq |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-309039104000000000 = -1 · 221 · 59 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- -2 11- 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25345,26782975] |
[a1,a2,a3,a4,a6] |
Generators |
[255:6080:1] |
Generators of the group modulo torsion |
j |
-6868751617729/1178890625000 |
j-invariant |
L |
7.6590220872157 |
L(r)(E,1)/r! |
Ω |
0.2503017748538 |
Real period |
R |
0.28332548267598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66880v2 16720r2 |
Quadratic twists by: -4 8 |