Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19392bm |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-9928704 = -1 · 215 · 3 · 101 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,543] |
[a1,a2,a3,a4,a6] |
Generators |
[11:24:1] |
Generators of the group modulo torsion |
j |
-7301384/303 |
j-invariant |
L |
7.6964839178973 |
L(r)(E,1)/r! |
Ω |
2.2746555079396 |
Real period |
R |
0.8458955533083 |
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 |
19392z1 9696g1 58176co1 |
Quadratic twists by: -4 8 -3 |