Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5566f |
Isogeny class |
Conductor |
5566 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
108465593786 = 2 · 119 · 23 |
Discriminant |
Eigenvalues |
2- -2 3 -5 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1394,-12374] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:367:8] |
Generators of the group modulo torsion |
j |
169112377/61226 |
j-invariant |
L |
4.3180304293576 |
L(r)(E,1)/r! |
Ω |
0.80491032346004 |
Real period |
R |
2.6823052851378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44528y1 50094bh1 506c1 128018bg1 |
Quadratic twists by: -4 -3 -11 -23 |