Atkin-Lehner |
2- 3- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
9006f |
Isogeny class |
Conductor |
9006 |
Conductor |
∏ cp |
396 |
Product of Tamagawa factors cp |
deg |
85536 |
Modular degree for the optimal curve |
Δ |
-2354428413739008 = -1 · 222 · 39 · 192 · 79 |
Discriminant |
Eigenvalues |
2- 3- -4 1 -3 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31225,3153401] |
[a1,a2,a3,a4,a6] |
Generators |
[794:-22285:1] |
Generators of the group modulo torsion |
j |
-3366913217480816401/2354428413739008 |
j-invariant |
L |
6.1627675755604 |
L(r)(E,1)/r! |
Ω |
0.42373561608927 |
Real period |
R |
0.036727015128815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72048q1 27018d1 |
Quadratic twists by: -4 -3 |