Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536l |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
278226710784 = 28 · 38 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1644,3276] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:132:1] |
Generators of the group modulo torsion |
j |
1920672547792/1086823089 |
j-invariant |
L |
5.5816997453727 |
L(r)(E,1)/r! |
Ω |
0.84112145756821 |
Real period |
R |
1.6590052765715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9768g2 78144cc2 58608m2 |
Quadratic twists by: -4 8 -3 |