Atkin-Lehner |
2- 11+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19228a |
Isogeny class |
Conductor |
19228 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2784 |
Modular degree for the optimal curve |
Δ |
-16074608 = -1 · 24 · 112 · 192 · 23 |
Discriminant |
Eigenvalues |
2- -1 -2 -2 11+ -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54,265] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:11:1] [-2:19:1] |
Generators of the group modulo torsion |
j |
-1108671232/1004663 |
j-invariant |
L |
5.3372015832725 |
L(r)(E,1)/r! |
Ω |
2.012902706649 |
Real period |
R |
0.22095792168046 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76912l1 |
Quadratic twists by: -4 |