Atkin-Lehner |
2+ 3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13566j |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10424555349264 = 24 · 32 · 74 · 174 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16902,-832760] |
[a1,a2,a3,a4,a6] |
Generators |
[358:6068:1] |
Generators of the group modulo torsion |
j |
533950585848403417/10424555349264 |
j-invariant |
L |
3.3531353127676 |
L(r)(E,1)/r! |
Ω |
0.41921156038423 |
Real period |
R |
1.9996677272535 |
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 |
108528z2 40698be2 94962h2 |
Quadratic twists by: -4 -3 -7 |