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 |
564055361099661312 = 227 · 36 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77066220,-260401928528] |
[a1,a2,a3,a4,a6] |
Generators |
[-29904829222086:-292913614336:5900304943] |
Generators of the group modulo torsion |
j |
2251439055699625/25088 |
j-invariant |
L |
5.3610758620845 |
L(r)(E,1)/r! |
Ω |
0.050954616873594 |
Real period |
R |
13.15159496583 |
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 |
28224fc6 882i6 3136k6 4032l6 |
Quadratic twists by: -4 8 -3 -7 |