Atkin-Lehner |
17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14297a |
Isogeny class |
Conductor |
14297 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
10111996457 = 17 · 296 |
Discriminant |
Eigenvalues |
1 0 -2 4 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76268,-8087989] |
[a1,a2,a3,a4,a6] |
Generators |
[-843138908572749266266698:416188339868265408857959:5297239078286031047016] |
Generators of the group modulo torsion |
j |
82483294977/17 |
j-invariant |
L |
5.0746917432326 |
L(r)(E,1)/r! |
Ω |
0.28728549802255 |
Real period |
R |
35.328561853368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128673p4 17a3 |
Quadratic twists by: -3 29 |