Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gv |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.0079420185327E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-134310749,-597731686527] |
[a1,a2,a3,a4,a6] |
Generators |
[-841330320700856211270811099:-4180494643282461662028077310:126506302844909062659319] |
Generators of the group modulo torsion |
j |
1763535241378513/4612311396 |
j-invariant |
L |
12.821582470378 |
L(r)(E,1)/r! |
Ω |
0.044354748999177 |
Real period |
R |
36.133623639717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011399 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35574o2 15246bu2 9702p2 |
Quadratic twists by: -3 -7 -11 |