Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42048l |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.581224018967E+22 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -2 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2988588,6368432560] |
[a1,a2,a3,a4,a6] |
j |
-61789459762658596/330967952894043 |
j-invariant |
L |
3.4370438254482 |
L(r)(E,1)/r! |
Ω |
0.10740761954483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048bu2 5256e2 14016w2 |
Quadratic twists by: -4 8 -3 |