Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5046n |
Isogeny class |
Conductor |
5046 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
-423932960169984 = -1 · 213 · 3 · 297 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 -6 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47534,-4114044] |
[a1,a2,a3,a4,a6] |
Generators |
[360:4866:1] |
Generators of the group modulo torsion |
j |
-19968681097/712704 |
j-invariant |
L |
6.7584387476043 |
L(r)(E,1)/r! |
Ω |
0.16132761740379 |
Real period |
R |
0.80562756710254 |
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 |
40368x1 15138j1 126150d1 174e1 |
Quadratic twists by: -4 -3 5 29 |