Atkin-Lehner |
2- 3- 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89784j |
Isogeny class |
Conductor |
89784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-1327075606618992 = -1 · 24 · 37 · 295 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 1 5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-609699,183248827] |
[a1,a2,a3,a4,a6] |
Generators |
[461:387:1] |
Generators of the group modulo torsion |
j |
-2148931882406486272/113775343503 |
j-invariant |
L |
7.8516539644607 |
L(r)(E,1)/r! |
Ω |
0.45557433655196 |
Real period |
R |
1.0771642144485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29928d1 |
Quadratic twists by: -3 |