Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144br |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7914004217856 = 216 · 36 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117217,15485185] |
[a1,a2,a3,a4,a6] |
j |
2717811254229988/120758121 |
j-invariant |
L |
1.3904043881933 |
L(r)(E,1)/r! |
Ω |
0.69520216997989 |
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 |
78144bk2 19536p2 |
Quadratic twists by: -4 8 |