Atkin-Lehner |
2+ 3- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27666c |
Isogeny class |
Conductor |
27666 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-390565817854595424 = -1 · 25 · 37 · 294 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-438336,115787232] |
[a1,a2,a3,a4,a6] |
j |
-12776684235010016257/535755580047456 |
j-invariant |
L |
1.1912635237008 |
L(r)(E,1)/r! |
Ω |
0.29781588092517 |
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 |
9222j4 |
Quadratic twists by: -3 |