Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608bc |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1901486555136 = 214 · 38 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3324,-32240] |
[a1,a2,a3,a4,a6] |
j |
340062928/159201 |
j-invariant |
L |
2.6317795869169 |
L(r)(E,1)/r! |
Ω |
0.65794490418339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76608fm2 9576w2 25536bc2 |
Quadratic twists by: -4 8 -3 |