Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dh |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.9094305398831E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9739980,-8339164272] |
[a1,a2,a3,a4,a6] |
Generators |
[-992:18620:1] |
Generators of the group modulo torsion |
j |
19804628171203875/5638671302656 |
j-invariant |
L |
4.4659761057985 |
L(r)(E,1)/r! |
Ω |
0.087309506400283 |
Real period |
R |
4.2625905334205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608m3 19152bg3 76608dg1 |
Quadratic twists by: -4 8 -3 |