Atkin-Lehner |
2+ 3- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105792r |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-11699748864 = -1 · 218 · 34 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,543,-1665] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1920:1] |
Generators of the group modulo torsion |
j |
67419143/44631 |
j-invariant |
L |
10.397599194307 |
L(r)(E,1)/r! |
Ω |
0.72449406759648 |
Real period |
R |
3.5878827891473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105792bm1 1653b1 |
Quadratic twists by: -4 8 |