Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
774b |
Isogeny class |
Conductor |
774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1615014241992 = -1 · 23 · 310 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2736,82984] |
[a1,a2,a3,a4,a6] |
j |
-3107661785857/2215383048 |
j-invariant |
L |
1.5541356319872 |
L(r)(E,1)/r! |
Ω |
0.77706781599362 |
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 |
6192w4 24768bf3 258d4 19350ck4 |
Quadratic twists by: -4 8 -3 5 |