Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56100x |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4709376 |
Modular degree for the optimal curve |
Δ |
-1.2616850280762E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5702967,-1312180812] |
[a1,a2,a3,a4,a6] |
j |
82051439184739844096/50467401123046875 |
j-invariant |
L |
0.29241952971385 |
L(r)(E,1)/r! |
Ω |
0.073104882238145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11220d1 |
Quadratic twists by: 5 |