Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608fg |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
20023987802112 = 212 · 37 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -6 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6852,36160] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:216:1] [-67:441:1] |
Generators of the group modulo torsion |
j |
11914842304/6705993 |
j-invariant |
L |
8.3100095178792 |
L(r)(E,1)/r! |
Ω |
0.59022454298894 |
Real period |
R |
0.586641814012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ep2 38304z1 25536dj2 |
Quadratic twists by: -4 8 -3 |