Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17340k |
Isogeny class |
Conductor |
17340 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
2658994601040 = 24 · 34 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7321,-230440] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1734:1] |
Generators of the group modulo torsion |
j |
112377856/6885 |
j-invariant |
L |
6.1963802775431 |
L(r)(E,1)/r! |
Ω |
0.51810080304179 |
Real period |
R |
0.99664972549163 |
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 |
69360cd1 52020bc1 86700c1 1020b1 |
Quadratic twists by: -4 -3 5 17 |