Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77064q |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-32117355399168 = -1 · 211 · 32 · 136 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4000,253356] |
[a1,a2,a3,a4,a6] |
j |
715822/3249 |
j-invariant |
L |
0.94256029207846 |
L(r)(E,1)/r! |
Ω |
0.47128015826152 |
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 |
456a2 |
Quadratic twists by: 13 |