Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bb |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14636160 |
Modular degree for the optimal curve |
Δ |
-1.2204307188737E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16178388,58761254096] |
[a1,a2,a3,a4,a6] |
Generators |
[248790776:15530383380:79507] |
Generators of the group modulo torsion |
j |
-392931/1024 |
j-invariant |
L |
4.4189350613962 |
L(r)(E,1)/r! |
Ω |
0.076289587904804 |
Real period |
R |
14.480793527116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999513983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722eu1 106722f1 106722ey1 |
Quadratic twists by: -3 -7 -11 |