Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680t |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3069603216000000 = 210 · 312 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59187,-4859134] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:450:1] |
Generators of the group modulo torsion |
j |
30716746229956/4112015625 |
j-invariant |
L |
4.8691691849749 |
L(r)(E,1)/r! |
Ω |
0.30879579034653 |
Real period |
R |
1.3140208235759 |
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 |
6840u2 54720dt2 4560a2 68400bf2 |
Quadratic twists by: -4 8 -3 5 |