Atkin-Lehner |
2+ 3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13566j |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
206637312 = 28 · 3 · 72 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16822,-841144] |
[a1,a2,a3,a4,a6] |
Generators |
[150:52:1] |
Generators of the group modulo torsion |
j |
526404369443051737/206637312 |
j-invariant |
L |
3.3531353127676 |
L(r)(E,1)/r! |
Ω |
0.41921156038423 |
Real period |
R |
3.9993354545069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108528z1 40698be1 94962h1 |
Quadratic twists by: -4 -3 -7 |