Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
50410b |
Isogeny class |
Conductor |
50410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
458485007184490310 = 2 · 5 · 719 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19081130,32086223430] |
[a1,a2,a3,a4,a6] |
j |
16757562879/10 |
j-invariant |
L |
0.48836392452598 |
L(r)(E,1)/r! |
Ω |
0.24418196248555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50410a2 |
Quadratic twists by: -71 |