Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3366c |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
999404088804 = 22 · 310 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3663,-69575] |
[a1,a2,a3,a4,a6] |
j |
7457162887153/1370924676 |
j-invariant |
L |
1.242901010277 |
L(r)(E,1)/r! |
Ω |
0.62145050513852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26928bp2 107712bz2 1122h2 84150fj2 |
Quadratic twists by: -4 8 -3 5 |