Atkin-Lehner |
2+ 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
47526f |
Isogeny class |
Conductor |
47526 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
6046600405558396416 = 29 · 3 · 898 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10824212,-13707394798] |
[a1,a2,a3,a4,a6] |
Generators |
[-100758833845937081874792327559400447870376534127360555690:20848831563336290279953616257724308745924688888972828291:52878294592423574851953534301519272694846255160101000] |
Generators of the group modulo torsion |
j |
35628084217/1536 |
j-invariant |
L |
7.2187429450853 |
L(r)(E,1)/r! |
Ω |
0.083234161823861 |
Real period |
R |
86.728126852067 |
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 |
47526a2 |
Quadratic twists by: 89 |