Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346p |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-959164416 = -1 · 212 · 34 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 4 -2 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2098,-37180] |
[a1,a2,a3,a4,a6] |
j |
-20827947839209/19574784 |
j-invariant |
L |
2.821684808122 |
L(r)(E,1)/r! |
Ω |
0.35271060101525 |
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 |
52038bf1 17346a1 |
Quadratic twists by: -3 -7 |