Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432bj |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3812769792 = -1 · 214 · 34 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,207,2673] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-72:1] [41:280:1] |
Generators of the group modulo torsion |
j |
59582000/232713 |
j-invariant |
L |
7.8610055491814 |
L(r)(E,1)/r! |
Ω |
0.99519637175392 |
Real period |
R |
1.9747372911261 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432p2 10608y2 127296cl2 |
Quadratic twists by: -4 8 -3 |