Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432p |
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] |
j |
59582000/232713 |
j-invariant |
L |
2.8344382664509 |
L(r)(E,1)/r! |
Ω |
0.70860956661459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bj2 2652c2 127296m2 |
Quadratic twists by: -4 8 -3 |