Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19392bj |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-205881606144 = -1 · 223 · 35 · 101 |
Discriminant |
Eigenvalues |
2- 3- -1 2 2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5761,-171649] |
[a1,a2,a3,a4,a6] |
Generators |
[95:384:1] |
Generators of the group modulo torsion |
j |
-80677568161/785376 |
j-invariant |
L |
6.0868211027589 |
L(r)(E,1)/r! |
Ω |
0.27383357237316 |
Real period |
R |
1.1114088477187 |
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 |
19392d1 4848k1 58176cg1 |
Quadratic twists by: -4 8 -3 |