Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680k |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3052749478763520 = -1 · 210 · 322 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443,-2658382] |
[a1,a2,a3,a4,a6] |
j |
-445138564/4089438495 |
j-invariant |
L |
0.81902476923626 |
L(r)(E,1)/r! |
Ω |
0.20475619230907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6840t4 54720fd3 4560c4 68400br3 |
Quadratic twists by: -4 8 -3 5 |