Atkin-Lehner |
2- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13072d |
Isogeny class |
Conductor |
13072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-214171648 = -1 · 218 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 2 -2 -1 0 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,136,-400] |
[a1,a2,a3,a4,a6] |
j |
67419143/52288 |
j-invariant |
L |
1.9787285351503 |
L(r)(E,1)/r! |
Ω |
0.98936426757513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1634a1 52288u1 117648z1 |
Quadratic twists by: -4 8 -3 |