Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16928f |
Isogeny class |
Conductor |
16928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-2166784 = -1 · 212 · 232 |
Discriminant |
Eigenvalues |
2- -2 3 -4 -2 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
1472 |
j-invariant |
L |
3.2548952469875 |
L(r)(E,1)/r! |
Ω |
1.4764357583883 |
Real period |
R |
1.1022813652728 |
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 |
16928c1 33856o1 16928g1 |
Quadratic twists by: -4 8 -23 |