Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56628d |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1508599895692032 = 28 · 39 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2943567,-1943832330] |
[a1,a2,a3,a4,a6] |
j |
315978926832/169 |
j-invariant |
L |
1.3831278718532 |
L(r)(E,1)/r! |
Ω |
0.11526065606229 |
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 |
56628c2 468b2 |
Quadratic twists by: -3 -11 |