Atkin-Lehner |
2- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17168i |
Isogeny class |
Conductor |
17168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-70320128 = -1 · 216 · 29 · 37 |
Discriminant |
Eigenvalues |
2- -1 -2 2 -3 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-224,-1280] |
[a1,a2,a3,a4,a6] |
Generators |
[18:14:1] |
Generators of the group modulo torsion |
j |
-304821217/17168 |
j-invariant |
L |
3.1727974990607 |
L(r)(E,1)/r! |
Ω |
0.61479196619811 |
Real period |
R |
2.5803830185692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2146d1 68672bb1 |
Quadratic twists by: -4 8 |