Atkin-Lehner |
2+ 3+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13566a |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.0116101281449E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1281394,-415923020] |
[a1,a2,a3,a4,a6] |
Generators |
[-31822881:-441078607:79507] |
Generators of the group modulo torsion |
j |
232687096283587102598953/60116101281448805376 |
j-invariant |
L |
2.9061819683107 |
L(r)(E,1)/r! |
Ω |
0.14461066227355 |
Real period |
R |
10.048297693338 |
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 |
108528bm2 40698bh2 94962x2 |
Quadratic twists by: -4 -3 -7 |