Atkin-Lehner |
2- 3- 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826w |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
289927104306352128 = 212 · 313 · 74 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10822289,-13700621055] |
[a1,a2,a3,a4,a6] |
j |
192288595733743706204617/397705218527232 |
j-invariant |
L |
3.995407375144 |
L(r)(E,1)/r! |
Ω |
0.083237653713247 |
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 |
18942b1 |
Quadratic twists by: -3 |