Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608bc |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6538444996608 = 216 · 37 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44364,-3594512] |
[a1,a2,a3,a4,a6] |
j |
202119559492/136857 |
j-invariant |
L |
2.6317795869169 |
L(r)(E,1)/r! |
Ω |
0.3289724520917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608fm4 9576w3 25536bc4 |
Quadratic twists by: -4 8 -3 |