Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006o |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
7.7441472526454E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-309013086,2090735846512] |
[a1,a2,a3,a4,a6] |
j |
3263279883032933444452132257625/77441472526453540753248 |
j-invariant |
L |
1.81107112626 |
L(r)(E,1)/r! |
Ω |
0.10061506257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
48048bj2 18018bs2 42042k2 66066cl2 |
Quadratic twists by: -4 -3 -7 -11 |