Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4230x |
Isogeny class |
Conductor |
4230 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
1.9828125E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2958122,-1945774231] |
[a1,a2,a3,a4,a6] |
Generators |
[-933:1621:1] |
Generators of the group modulo torsion |
j |
106024944656903749761123/734375000000000000 |
j-invariant |
L |
5.1153439403818 |
L(r)(E,1)/r! |
Ω |
0.11516667520065 |
Real period |
R |
3.7014063396014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
33840bl2 4230d4 21150j2 |
Quadratic twists by: -4 -3 5 |