Atkin-Lehner |
2- 3- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89784k |
Isogeny class |
Conductor |
89784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1876306032 = -1 · 24 · 37 · 29 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -3 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,2099] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-43:1] [1:45:1] |
Generators of the group modulo torsion |
j |
-4000000/160863 |
j-invariant |
L |
10.138054757206 |
L(r)(E,1)/r! |
Ω |
1.2321728481311 |
Real period |
R |
1.0284732751409 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29928b1 |
Quadratic twists by: -3 |