Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560br |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-2.7491309715456E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-660108,325960432] |
[a1,a2,a3,a4,a6] |
Generators |
[9912:311500:27] |
Generators of the group modulo torsion |
j |
-166456688365729/143856000000 |
j-invariant |
L |
4.559975298649 |
L(r)(E,1)/r! |
Ω |
0.19279119914825 |
Real period |
R |
5.9131009444542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560er1 3330i1 35520bh1 |
Quadratic twists by: -4 8 -3 |