Atkin-Lehner |
2- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
8722o |
Isogeny class |
Conductor |
8722 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1327022366096 = -1 · 24 · 76 · 893 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -6 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27147,1711177] |
[a1,a2,a3,a4,a6] |
Generators |
[435:-30758:27] [83:154:1] |
Generators of the group modulo torsion |
j |
-18806241149857/11279504 |
j-invariant |
L |
5.9646981284502 |
L(r)(E,1)/r! |
Ω |
0.84807365827744 |
Real period |
R |
0.14652565037225 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69776y2 78498t2 178a2 |
Quadratic twists by: -4 -3 -7 |