Atkin-Lehner |
2+ 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10224a |
Isogeny class |
Conductor |
10224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
954021888 = 211 · 38 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-245379,46784738] |
[a1,a2,a3,a4,a6] |
j |
1094405855968514/639 |
j-invariant |
L |
1.9233709486304 |
L(r)(E,1)/r! |
Ω |
0.96168547431519 |
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 |
5112a3 40896bp4 3408a3 |
Quadratic twists by: -4 8 -3 |