Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450by |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-1.5981916116375E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-354492,613726416] |
[a1,a2,a3,a4,a6] |
Generators |
[-525:25854:1] |
Generators of the group modulo torsion |
j |
-390625/12672 |
j-invariant |
L |
3.8787489699673 |
L(r)(E,1)/r! |
Ω |
0.15178659245934 |
Real period |
R |
3.194245376906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150cs1 54450gy1 4950bk1 |
Quadratic twists by: -3 5 -11 |