Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3366o |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.7805495672268E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,460984,-270300009] |
[a1,a2,a3,a4,a6] |
j |
14861225463775641287/51859390496937804 |
j-invariant |
L |
3.3441965090265 |
L(r)(E,1)/r! |
Ω |
0.10450614090708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26928by3 107712ch3 1122b4 84150bm3 |
Quadratic twists by: -4 8 -3 5 |