Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17340m |
Isogeny class |
Conductor |
17340 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161568 |
Modular degree for the optimal curve |
Δ |
-60479817013470000 = -1 · 24 · 3 · 54 · 1710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -4 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111361,-18600436] |
[a1,a2,a3,a4,a6] |
Generators |
[627771800345592:16836072574719950:721010367063] |
Generators of the group modulo torsion |
j |
-4734976/1875 |
j-invariant |
L |
6.0424606435026 |
L(r)(E,1)/r! |
Ω |
0.12816619973199 |
Real period |
R |
23.572754190021 |
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 |
69360cj1 52020bf1 86700j1 17340i1 |
Quadratic twists by: -4 -3 5 17 |