Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608cv |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.3563487047922E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89534700,321238025712] |
[a1,a2,a3,a4,a6] |
j |
123071256063948375000/2102955726425743 |
j-invariant |
L |
0.68587303875439 |
L(r)(E,1)/r! |
Ω |
0.085734130790726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608do2 38304bb2 76608cu2 |
Quadratic twists by: -4 8 -3 |