Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19392bi |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
10857037824 = 214 · 38 · 101 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -6 -5 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1125,-14013] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:27:1] |
Generators of the group modulo torsion |
j |
9619385344/662661 |
j-invariant |
L |
6.5210306094657 |
L(r)(E,1)/r! |
Ω |
0.8278624127766 |
Real period |
R |
0.98461871635085 |
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 |
19392c1 4848a1 58176ck1 |
Quadratic twists by: -4 8 -3 |