Atkin-Lehner |
2- 5- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17110h |
Isogeny class |
Conductor |
17110 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
18418572800 = 29 · 52 · 293 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -5 5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-967,9791] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:154:1] |
Generators of the group modulo torsion |
j |
99903803019201/18418572800 |
j-invariant |
L |
7.0469424956786 |
L(r)(E,1)/r! |
Ω |
1.1649835497148 |
Real period |
R |
0.11201783504763 |
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 |
85550h1 |
Quadratic twists by: 5 |