Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368ba |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17557843083264 = 224 · 32 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-349184,-79536204] |
[a1,a2,a3,a4,a6] |
Generators |
[75807776:3513977775:32768] |
Generators of the group modulo torsion |
j |
1149550394446181377/4286582784 |
j-invariant |
L |
5.132812052804 |
L(r)(E,1)/r! |
Ω |
0.19639750409938 |
Real period |
R |
13.067406524186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2046g2 65472bj2 49104bh2 |
Quadratic twists by: -4 8 -3 |