Atkin-Lehner |
2+ 3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13566j |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2104195377533004 = 22 · 34 · 72 · 178 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35522,1327160] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:1861:1] |
Generators of the group modulo torsion |
j |
4956765426045270937/2104195377533004 |
j-invariant |
L |
3.3531353127676 |
L(r)(E,1)/r! |
Ω |
0.41921156038423 |
Real period |
R |
0.99983386362673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108528z4 40698be4 94962h4 |
Quadratic twists by: -4 -3 -7 |