Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gp |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-1.8451326570227E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 3 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9550507,-17266767955] |
[a1,a2,a3,a4,a6] |
Generators |
[2109:109636:1] |
Generators of the group modulo torsion |
j |
43307231/82944 |
j-invariant |
L |
10.029284477734 |
L(r)(E,1)/r! |
Ω |
0.052826993050377 |
Real period |
R |
4.7462877859535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574bc1 2178i1 106722da1 |
Quadratic twists by: -3 -7 -11 |