Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19392q |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
879420063744 = 214 · 312 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 -2 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-312997,-67504189] |
[a1,a2,a3,a4,a6] |
j |
206978714469071872/53675541 |
j-invariant |
L |
2.4221199573963 |
L(r)(E,1)/r! |
Ω |
0.20184332978302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19392bb1 2424b1 58176bh1 |
Quadratic twists by: -4 8 -3 |