Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120bk |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-944388581442048000 = -1 · 212 · 320 · 53 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-597612,183862784] |
[a1,a2,a3,a4,a6] |
Generators |
[208:8280:1] |
Generators of the group modulo torsion |
j |
-7904859665241664/316273825125 |
j-invariant |
L |
6.4845852833894 |
L(r)(E,1)/r! |
Ω |
0.27688248690594 |
Real period |
R |
1.951665896199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120bh2 66240ex1 11040a2 |
Quadratic twists by: -4 8 -3 |