Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432q |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-14893632 = -1 · 26 · 34 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 0 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,182] |
[a1,a2,a3,a4,a6] |
j |
-7529536/232713 |
j-invariant |
L |
3.7023938313918 |
L(r)(E,1)/r! |
Ω |
1.8511969156741 |
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 |
42432b1 21216c2 127296p1 |
Quadratic twists by: -4 8 -3 |