Atkin-Lehner |
2+ 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27072i |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8287010353152 = -1 · 212 · 316 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-660,-138656] |
[a1,a2,a3,a4,a6] |
j |
-10648000/2775303 |
j-invariant |
L |
1.3164119520668 |
L(r)(E,1)/r! |
Ω |
0.3291029880168 |
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 |
27072v2 13536x1 9024r2 |
Quadratic twists by: -4 8 -3 |