Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bh |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
156161811398197248 = 216 · 310 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-226380,36840944] |
[a1,a2,a3,a4,a6] |
Generators |
[-490:5488:1] |
Generators of the group modulo torsion |
j |
665500/81 |
j-invariant |
L |
5.0308712617092 |
L(r)(E,1)/r! |
Ω |
0.31303740639922 |
Real period |
R |
2.008893809041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224fb2 3528h2 9408e2 28224bg2 |
Quadratic twists by: -4 8 -3 -7 |