Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59328o |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
72643580116992 = 214 · 316 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16860,736112] |
[a1,a2,a3,a4,a6] |
Generators |
[7672:208692:343] |
Generators of the group modulo torsion |
j |
44376082000/6082047 |
j-invariant |
L |
8.1072806748747 |
L(r)(E,1)/r! |
Ω |
0.59097722971175 |
Real period |
R |
6.859215776084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59328be2 3708b2 19776d2 |
Quadratic twists by: -4 8 -3 |