Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5586b |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1787520 |
Modular degree for the optimal curve |
Δ |
-1.169247103417E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -5 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1195106203,-15902721896291] |
[a1,a2,a3,a4,a6] |
j |
-668286694038078762077641/413929046016 |
j-invariant |
L |
0.64193039265143 |
L(r)(E,1)/r! |
Ω |
0.012838607853029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44688dg1 16758be1 5586n1 106134cw1 |
Quadratic twists by: -4 -3 -7 -19 |