Atkin-Lehner |
2- 3- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
89082bg |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-750055441335994584 = -1 · 23 · 313 · 78 · 1012 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -3 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,223357,9187035] |
[a1,a2,a3,a4,a6] |
Generators |
[2585:132330:1] |
Generators of the group modulo torsion |
j |
293232693719/178476696 |
j-invariant |
L |
9.3571455530004 |
L(r)(E,1)/r! |
Ω |
0.17500137030653 |
Real period |
R |
1.4852495695458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29694a1 89082bm1 |
Quadratic twists by: -3 -7 |