Atkin-Lehner |
2- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48944n |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-3284576239616 = -1 · 230 · 7 · 19 · 23 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 0 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10512,-420416] |
[a1,a2,a3,a4,a6] |
Generators |
[3288:188416:1] |
Generators of the group modulo torsion |
j |
-31366144171153/801898496 |
j-invariant |
L |
3.3994048345517 |
L(r)(E,1)/r! |
Ω |
0.23539060261758 |
Real period |
R |
3.6103871573074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118l1 |
Quadratic twists by: -4 |