Atkin-Lehner |
3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
39249g |
Isogeny class |
Conductor |
39249 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.9834910104076E+19 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21854646,39328548867] |
[a1,a2,a3,a4,a6] |
Generators |
[5899062:-3866721:2197] |
Generators of the group modulo torsion |
j |
13459820975891961553/581055893901 |
j-invariant |
L |
7.0552593170246 |
L(r)(E,1)/r! |
Ω |
0.18845685978014 |
Real period |
R |
9.3592498108784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13083i3 5607e3 |
Quadratic twists by: -3 -7 |