Atkin-Lehner |
17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17051c |
Isogeny class |
Conductor |
17051 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1432674087475139 = -1 · 178 · 593 |
Discriminant |
Eigenvalues |
-1 -3 -1 -1 0 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18297,-1556622] |
[a1,a2,a3,a4,a6] |
Generators |
[166:2373:1] |
Generators of the group modulo torsion |
j |
28066748319/59354531 |
j-invariant |
L |
1.3152586627098 |
L(r)(E,1)/r! |
Ω |
0.24923597997217 |
Real period |
R |
1.3192905202297 |
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 |
1003c1 |
Quadratic twists by: 17 |