Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216i |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-153922536548794368 = -1 · 216 · 33 · 196 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61448,-19745040] |
[a1,a2,a3,a4,a6] |
j |
-6264610702863625/37578744274608 |
j-invariant |
L |
2.1700634040388 |
L(r)(E,1)/r! |
Ω |
0.13562896275158 |
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 |
4902h2 117648x2 |
Quadratic twists by: -4 -3 |