Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416ds |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-14652997632 = -1 · 216 · 33 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,5840] |
[a1,a2,a3,a4,a6] |
j |
-78732/8281 |
j-invariant |
L |
4.1022169107386 |
L(r)(E,1)/r! |
Ω |
1.0255542277793 |
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 |
52416y2 13104h2 52416dt2 |
Quadratic twists by: -4 8 -3 |