Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gv |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.1640271239311E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-187138139,-83763443739] |
[a1,a2,a3,a4,a6] |
Generators |
[-11164455288100:-3186093591949599:6859000000] |
Generators of the group modulo torsion |
j |
4770223741048753/2740574865798 |
j-invariant |
L |
12.821582470378 |
L(r)(E,1)/r! |
Ω |
0.044354748999177 |
Real period |
R |
18.066811819859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574o3 15246bu3 9702p3 |
Quadratic twists by: -3 -7 -11 |