Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575cy |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
34544687625 = 34 · 53 · 76 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-883,-4768] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:82:1] |
Generators of the group modulo torsion |
j |
5177717/2349 |
j-invariant |
L |
5.5613322804266 |
L(r)(E,1)/r! |
Ω |
0.91408207345607 |
Real period |
R |
1.5210155628656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106575bl1 2175e1 |
Quadratic twists by: 5 -7 |