Atkin-Lehner |
2- 3+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866o |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5148922387904064 = 26 · 34 · 74 · 112 · 434 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-58289,-4198129] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:824:1] |
Generators of the group modulo torsion |
j |
21902010953060777617/5148922387904064 |
j-invariant |
L |
5.4034959381703 |
L(r)(E,1)/r! |
Ω |
0.31247941831467 |
Real period |
R |
2.8820543164696 |
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 |
59598f3 |
Quadratic twists by: -3 |