Atkin-Lehner |
2- 11+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
128656l |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-1519576609193984 = -1 · 234 · 112 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -1 3 -4 11+ 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-633264,194186176] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:16384:1] [10:13706:1] |
Generators of the group modulo torsion |
j |
-6856758434230430257/370990383104 |
j-invariant |
L |
10.74026214335 |
L(r)(E,1)/r! |
Ω |
0.45069147424228 |
Real period |
R |
2.9788288533241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16082f1 |
Quadratic twists by: -4 |