Atkin-Lehner |
2- 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
19392bf |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-1215392514048 = -1 · 217 · 32 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ -4 -3 -2 2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4865,-139359] |
[a1,a2,a3,a4,a6] |
Generators |
[293:-4848:1] |
Generators of the group modulo torsion |
j |
-97174336898/9272709 |
j-invariant |
L |
1.8933962311713 |
L(r)(E,1)/r! |
Ω |
0.28427768273381 |
Real period |
R |
0.27751566311313 |
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 |
19392v1 4848b1 58176cb1 |
Quadratic twists by: -4 8 -3 |