Atkin-Lehner |
2- 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
12816h |
Isogeny class |
Conductor |
12816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-23651979264 = -1 · 212 · 36 · 892 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501,6010] |
[a1,a2,a3,a4,a6] |
Generators |
[15:130:1] |
Generators of the group modulo torsion |
j |
4657463/7921 |
j-invariant |
L |
4.8011150587632 |
L(r)(E,1)/r! |
Ω |
0.82116807602397 |
Real period |
R |
2.9233449271492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
801b2 51264bb2 1424f2 |
Quadratic twists by: -4 8 -3 |