Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22264g |
Isogeny class |
Conductor |
22264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-41723804672 = -1 · 210 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 0 0 -4 11- 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,605,-7986] |
[a1,a2,a3,a4,a6] |
j |
13500/23 |
j-invariant |
L |
0.6015286472636 |
L(r)(E,1)/r! |
Ω |
0.60152864726359 |
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 |
44528c1 184c1 |
Quadratic twists by: -4 -11 |