Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bi |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.1160889406254E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1002540,-316696016] |
[a1,a2,a3,a4,a6] |
Generators |
[2678:127296:1] |
Generators of the group modulo torsion |
j |
4956477625/941192 |
j-invariant |
L |
5.3610758620845 |
L(r)(E,1)/r! |
Ω |
0.15286385062078 |
Real period |
R |
4.38386498861 |
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 |
28224fc4 882i4 3136k4 4032l4 |
Quadratic twists by: -4 8 -3 -7 |