Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722cb |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
3.4945694261794E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1895427,447576597] |
[a1,a2,a3,a4,a6] |
Generators |
[-1041:36462:1] |
Generators of the group modulo torsion |
j |
3723875/1728 |
j-invariant |
L |
2.7683743254783 |
L(r)(E,1)/r! |
Ω |
0.15247390697784 |
Real period |
R |
4.5390952564629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999056787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574cq1 2178b1 106722fw1 |
Quadratic twists by: -3 -7 -11 |