Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006m |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.6736390236272E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,81393,291482434] |
[a1,a2,a3,a4,a6] |
j |
59633809076653006103/36736390236271934208 |
j-invariant |
L |
1.2820327316051 |
L(r)(E,1)/r! |
Ω |
0.16025409145063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048br3 18018bb4 42042t3 66066cu3 |
Quadratic twists by: -4 -3 -7 -11 |