Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13566t |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-208053100458 = -1 · 2 · 32 · 73 · 173 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1718703,-867403341] |
[a1,a2,a3,a4,a6] |
Generators |
[12222:62349:8] |
Generators of the group modulo torsion |
j |
-561469581977282220768625/208053100458 |
j-invariant |
L |
8.6317420704863 |
L(r)(E,1)/r! |
Ω |
0.065927916173172 |
Real period |
R |
7.2737203596504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108528n2 40698p2 94962bn2 |
Quadratic twists by: -4 -3 -7 |