Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dm |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
3893760 |
Modular degree for the optimal curve |
Δ |
2.3017921427477E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-878663,217514431] |
[a1,a2,a3,a4,a6] |
Generators |
[2155:90182:1] |
Generators of the group modulo torsion |
j |
4672530603/1433600 |
j-invariant |
L |
9.5582839026817 |
L(r)(E,1)/r! |
Ω |
0.19810251605173 |
Real period |
R |
0.30928961325408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470q1 106470l1 |
Quadratic twists by: -3 13 |