Atkin-Lehner |
2+ 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006b |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.498694078087E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31094070,66697709652] |
[a1,a2,a3,a4,a6] |
Generators |
[-3241:366919:1] |
Generators of the group modulo torsion |
j |
3324730517043538694039691625/1498694078086994460672 |
j-invariant |
L |
2.3546104719129 |
L(r)(E,1)/r! |
Ω |
0.1486862474421 |
Real period |
R |
7.9180506348773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048cx2 18018be2 42042be2 66066bz2 |
Quadratic twists by: -4 -3 -7 -11 |