Atkin-Lehner |
2- 3+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
27192b |
Isogeny class |
Conductor |
27192 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-62650368 = -1 · 211 · 33 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ 6 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,364] |
[a1,a2,a3,a4,a6] |
j |
1714750/30591 |
j-invariant |
L |
1.4660381611298 |
L(r)(E,1)/r! |
Ω |
1.4660381611295 |
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 |
54384e1 81576d1 |
Quadratic twists by: -4 -3 |