Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575bx |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-851867296875 = -1 · 33 · 56 · 74 · 292 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 4 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-408,-44656] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1087:1] |
Generators of the group modulo torsion |
j |
-200704/22707 |
j-invariant |
L |
4.0735696839213 |
L(r)(E,1)/r! |
Ω |
0.3944880954987 |
Real period |
R |
0.86051808462589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4263b1 106575ba1 |
Quadratic twists by: 5 -7 |