Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
8928d |
Isogeny class |
Conductor |
8928 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-24318195964416 = -1 · 29 · 313 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 1 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18147,-970378] |
[a1,a2,a3,a4,a6] |
Generators |
[277:3906:1] |
Generators of the group modulo torsion |
j |
-1770682685192/65152917 |
j-invariant |
L |
4.4126419349836 |
L(r)(E,1)/r! |
Ω |
0.20522540850871 |
Real period |
R |
1.791786718422 |
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 |
8928h1 17856bc1 2976e1 |
Quadratic twists by: -4 8 -3 |