Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19392l |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-781706723328 = -1 · 217 · 310 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -6 -2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1567,-34689] |
[a1,a2,a3,a4,a6] |
Generators |
[19:48:1] [34:243:1] |
Generators of the group modulo torsion |
j |
3244468750/5963949 |
j-invariant |
L |
7.7625048053955 |
L(r)(E,1)/r! |
Ω |
0.46934870675582 |
Real period |
R |
0.4134721526693 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19392w1 2424a1 58176w1 |
Quadratic twists by: -4 8 -3 |