Atkin-Lehner |
2- 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
39216bi |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
1084243968 = 214 · 34 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22048,-1267468] |
[a1,a2,a3,a4,a6] |
Generators |
[203:1632:1] |
Generators of the group modulo torsion |
j |
289395025998625/264708 |
j-invariant |
L |
7.5892987034089 |
L(r)(E,1)/r! |
Ω |
0.39179206594956 |
Real period |
R |
4.8426827410446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902i1 117648cb1 |
Quadratic twists by: -4 -3 |