Atkin-Lehner |
2- 3- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47988d |
Isogeny class |
Conductor |
47988 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-16208077610283264 = -1 · 28 · 313 · 314 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -5 -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61377,1806806] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:972:1] |
Generators of the group modulo torsion |
j |
137016601001264/86848838361 |
j-invariant |
L |
4.9318859301394 |
L(r)(E,1)/r! |
Ω |
0.24338710982201 |
Real period |
R |
2.532943267692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15996a1 |
Quadratic twists by: -3 |