Atkin-Lehner |
2+ 5+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17110a |
Isogeny class |
Conductor |
17110 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-7263033224950 = -1 · 2 · 52 · 294 · 593 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 -5 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21845,-1244029] |
[a1,a2,a3,a4,a6] |
Generators |
[563:12551:1] |
Generators of the group modulo torsion |
j |
-1152898415016804009/7263033224950 |
j-invariant |
L |
2.0048618955236 |
L(r)(E,1)/r! |
Ω |
0.19627595872838 |
Real period |
R |
0.42560440338537 |
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 |
85550x1 |
Quadratic twists by: 5 |