Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128440y |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-6447535618784000 = -1 · 28 · 53 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- -3 -2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1047180,412127600] |
[a1,a2,a3,a4,a6] |
Generators |
[550:1690:1] |
Generators of the group modulo torsion |
j |
-102775137127504/5217875 |
j-invariant |
L |
7.4559739622906 |
L(r)(E,1)/r! |
Ω |
0.39895039604409 |
Real period |
R |
0.77870728882619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9880b1 |
Quadratic twists by: 13 |