Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3042m |
Isogeny class |
Conductor |
3042 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-8.979181539709E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,795451,364884797] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:16192:1] |
Generators of the group modulo torsion |
j |
93603087383/150994944 |
j-invariant |
L |
4.284459823501 |
L(r)(E,1)/r! |
Ω |
0.13024616303723 |
Real period |
R |
2.0559433976744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24336bz2 97344cm2 1014b2 76050bo2 |
Quadratic twists by: -4 8 -3 5 |