Atkin-Lehner |
3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48279k |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-176835495291147 = -1 · 33 · 72 · 117 · 193 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,9277,542603] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-1271:1] |
Generators of the group modulo torsion |
j |
49836032000/99819027 |
j-invariant |
L |
4.8535970807866 |
L(r)(E,1)/r! |
Ω |
0.39414358092259 |
Real period |
R |
1.0261905634816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389h1 |
Quadratic twists by: -11 |