Atkin-Lehner |
2- 3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
89082bm |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-6375366057816 = -1 · 23 · 313 · 72 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4558,-28087] |
[a1,a2,a3,a4,a6] |
Generators |
[843:24121:1] |
Generators of the group modulo torsion |
j |
293232693719/178476696 |
j-invariant |
L |
10.296822820872 |
L(r)(E,1)/r! |
Ω |
0.43641020137325 |
Real period |
R |
0.98309865904194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29694e1 89082bg1 |
Quadratic twists by: -3 -7 |