Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048cg |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
13950517248 = 218 · 36 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,-3888] |
[a1,a2,a3,a4,a6] |
j |
185193/73 |
j-invariant |
L |
3.8625529116334 |
L(r)(E,1)/r! |
Ω |
0.96563822790093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048z1 10512w1 4672d1 |
Quadratic twists by: -4 8 -3 |