Atkin-Lehner |
2+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14144f |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
870629507072 = 220 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5996,172976] |
[a1,a2,a3,a4,a6] |
j |
90942871473/3321188 |
j-invariant |
L |
1.7637052631237 |
L(r)(E,1)/r! |
Ω |
0.88185263156187 |
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 |
14144r1 442a1 127296bo1 |
Quadratic twists by: -4 8 -3 |