Atkin-Lehner |
2- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43472s |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-80814448 = -1 · 24 · 112 · 133 · 19 |
Discriminant |
Eigenvalues |
2- -2 -2 0 11- 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-274,-1893] |
[a1,a2,a3,a4,a6] |
Generators |
[19:11:1] |
Generators of the group modulo torsion |
j |
-142705092352/5050903 |
j-invariant |
L |
2.5367472001902 |
L(r)(E,1)/r! |
Ω |
0.58532574007684 |
Real period |
R |
2.1669533957855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10868c1 |
Quadratic twists by: -4 |