Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120s |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
9.0448956502129E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2749686,992178864] |
[a1,a2,a3,a4,a6] |
j |
7442744143086784/2927948765625 |
j-invariant |
L |
4.5835591741299 |
L(r)(E,1)/r! |
Ω |
0.14323622529698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81120f1 6240bf1 |
Quadratic twists by: -4 13 |