Atkin-Lehner |
3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17457a |
Isogeny class |
Conductor |
17457 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13058097732801 = 36 · 112 · 236 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6094,-60065] |
[a1,a2,a3,a4,a6] |
j |
169112377/88209 |
j-invariant |
L |
0.5722956163335 |
L(r)(E,1)/r! |
Ω |
0.5722956163335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52371e2 33a1 |
Quadratic twists by: -3 -23 |