Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048ce |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2615721984 = -1 · 214 · 37 · 73 |
Discriminant |
Eigenvalues |
2- 3- -1 0 0 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-2464] |
[a1,a2,a3,a4,a6] |
j |
-1024/219 |
j-invariant |
L |
2.5725055376098 |
L(r)(E,1)/r! |
Ω |
0.64312638440117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42048x1 10512i1 14016bl1 |
Quadratic twists by: -4 8 -3 |