Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410y |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
3188303649379860480 = 214 · 39 · 5 · 711 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2259767,1305245071] |
[a1,a2,a3,a4,a6] |
j |
551105805571803/1376829440 |
j-invariant |
L |
3.5393266365936 |
L(r)(E,1)/r! |
Ω |
0.25280904547097 |
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 |
35280dp1 4410b1 22050j1 630g1 |
Quadratic twists by: -4 -3 5 -7 |