Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bo |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.4315684258906E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1380405,241349056] |
[a1,a2,a3,a4,a6] |
Generators |
[-850:28722:1] |
Generators of the group modulo torsion |
j |
2472604133104833337/1216813084591104 |
j-invariant |
L |
6.5131894454522 |
L(r)(E,1)/r! |
Ω |
0.16298274431359 |
Real period |
R |
1.6651020002357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126126fj2 6006i2 |
Quadratic twists by: -3 -7 |