Atkin-Lehner |
2+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128440h |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1317888 |
Modular degree for the optimal curve |
Δ |
-335271852176768000 = -1 · 210 · 53 · 1310 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -5 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9520,27863900] |
[a1,a2,a3,a4,a6] |
j |
-676/2375 |
j-invariant |
L |
1.4649993093873 |
L(r)(E,1)/r! |
Ω |
0.2441665727932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128440s1 |
Quadratic twists by: 13 |