Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280k |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
2260975787573248000 = 220 · 53 · 297 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 2 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-944443,345787242] |
[a1,a2,a3,a4,a6] |
j |
38238692409/928000 |
j-invariant |
L |
0.51788220248713 |
L(r)(E,1)/r! |
Ω |
0.25894109787227 |
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 |
8410g1 2320e1 |
Quadratic twists by: -4 29 |