Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200cj |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-139320000000 = -1 · 29 · 34 · 57 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,992,-13012] |
[a1,a2,a3,a4,a6] |
Generators |
[23:150:1] |
Generators of the group modulo torsion |
j |
13481272/17415 |
j-invariant |
L |
8.882833434954 |
L(r)(E,1)/r! |
Ω |
0.55282045291486 |
Real period |
R |
1.0042629313341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200bu1 20640e1 |
Quadratic twists by: -4 5 |