Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
19776r |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-10125312 = -1 · 215 · 3 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -3 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,159] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] |
Generators of the group modulo torsion |
j |
-125000/309 |
j-invariant |
L |
6.0577117564887 |
L(r)(E,1)/r! |
Ω |
2.025716660191 |
Real period |
R |
1.4952021364916 |
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 |
19776a1 9888i1 59328n1 |
Quadratic twists by: -4 8 -3 |