Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42048bu |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[14898200844035975490199760:-1555281790363666612760828292:1328393548228504943375] |
Generators of the group modulo torsion |
j |
-61789459762658596/330967952894043 |
j-invariant |
L |
8.2788553705243 |
L(r)(E,1)/r! |
Ω |
0.051654325871475 |
Real period |
R |
40.068548136312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048l2 10512g2 14016bj2 |
Quadratic twists by: -4 8 -3 |