Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17340j |
Isogeny class |
Conductor |
17340 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2276887228742400 = 28 · 3 · 52 · 179 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86796,-9599820] |
[a1,a2,a3,a4,a6] |
Generators |
[-787489166282:1139054410437:5286210488] |
Generators of the group modulo torsion |
j |
2382032/75 |
j-invariant |
L |
5.5560835630823 |
L(r)(E,1)/r! |
Ω |
0.2786836656245 |
Real period |
R |
19.936882739904 |
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 |
69360bz2 52020bb2 86700a2 17340e2 |
Quadratic twists by: -4 -3 5 17 |