Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3366c |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
215935632 = 24 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3483,-78251] |
[a1,a2,a3,a4,a6] |
j |
6411014266033/296208 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
26928bp1 107712bz1 1122h1 84150fj1 |
Quadratic twists by: -4 8 -3 5 |