Atkin-Lehner |
2- 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144dc |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2640642048 = 216 · 32 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 11- 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,68607] |
[a1,a2,a3,a4,a6] |
j |
55365148804/40293 |
j-invariant |
L |
2.8553696777707 |
L(r)(E,1)/r! |
Ω |
1.4276848378322 |
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 |
78144h2 19536d2 |
Quadratic twists by: -4 8 |