Atkin-Lehner |
3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27075m |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-580360193291671875 = -1 · 37 · 56 · 198 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 -2 -5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5983763,-5634525108] |
[a1,a2,a3,a4,a6] |
j |
-89289015625/2187 |
j-invariant |
L |
0.67569913051318 |
L(r)(E,1)/r! |
Ω |
0.048264223608087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81225r2 1083a2 27075d2 |
Quadratic twists by: -3 5 -19 |