Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600cv |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
162437529600000000 = 225 · 36 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18564033,-30792419937] |
[a1,a2,a3,a4,a6] |
j |
172735174415217961/39657600 |
j-invariant |
L |
1.7455918151591 |
L(r)(E,1)/r! |
Ω |
0.072732995744958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600fp2 2550s2 16320h2 |
Quadratic twists by: -4 8 5 |