Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144br |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1440350208 = 217 · 33 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1875457,989198497] |
[a1,a2,a3,a4,a6] |
j |
5565899381416019714/10989 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bk4 19536p3 |
Quadratic twists by: -4 8 |