Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048cj |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17656123392 = 212 · 310 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3396,-75904] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:9:1] [-34:16:1] |
Generators of the group modulo torsion |
j |
1450571968/5913 |
j-invariant |
L |
8.0263777004879 |
L(r)(E,1)/r! |
Ω |
0.62555302550414 |
Real period |
R |
3.2077127650448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048ci2 21024p1 14016bn2 |
Quadratic twists by: -4 8 -3 |