Atkin-Lehner |
2- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49856g |
Isogeny class |
Conductor |
49856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-523288576 = -1 · 214 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 0 -3 1 -5 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-224,-1696] |
[a1,a2,a3,a4,a6] |
Generators |
[97:943:1] |
Generators of the group modulo torsion |
j |
-75866112/31939 |
j-invariant |
L |
3.3949467191203 |
L(r)(E,1)/r! |
Ω |
0.60458622982931 |
Real period |
R |
2.8076612992836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49856f1 12464d1 |
Quadratic twists by: -4 8 |