Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230du |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.5697873879943E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8221973,-8869741603] |
[a1,a2,a3,a4,a6] |
Generators |
[-1743:13660:1] |
Generators of the group modulo torsion |
j |
47595748626367201/1215506250000 |
j-invariant |
L |
10.571871124782 |
L(r)(E,1)/r! |
Ω |
0.089296006775887 |
Real period |
R |
3.699728404286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997392 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25410bj3 630c4 |
Quadratic twists by: -3 -11 |