Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224a |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1859069183311872 = -1 · 214 · 39 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-2074464] |
[a1,a2,a3,a4,a6] |
Generators |
[177:1863:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.0859302653453 |
L(r)(E,1)/r! |
Ω |
0.21505393683498 |
Real period |
R |
3.9415927776046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224cw2 1764a2 28224a1 28224j2 |
Quadratic twists by: -4 8 -3 -7 |