Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
4944j |
Isogeny class |
Conductor |
4944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-40501248 = -1 · 217 · 3 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -1 -4 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,-300] |
[a1,a2,a3,a4,a6] |
Generators |
[12:42:1] |
Generators of the group modulo torsion |
j |
103823/9888 |
j-invariant |
L |
4.1492089492357 |
L(r)(E,1)/r! |
Ω |
0.96863117258937 |
Real period |
R |
2.1417899127405 |
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 |
618e1 19776v1 14832j1 123600bf1 |
Quadratic twists by: -4 8 -3 5 |