Atkin-Lehner |
2+ 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792n |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
2557598367744 = 217 · 33 · 75 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 6 5 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3617,-31839] |
[a1,a2,a3,a4,a6] |
j |
39937362194/19512927 |
j-invariant |
L |
1.2936068367257 |
L(r)(E,1)/r! |
Ω |
0.64680341794834 |
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 |
57792cy1 7224c1 |
Quadratic twists by: -4 8 |