Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4032h |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-12039487488 = -1 · 218 · 38 · 7 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,1136] |
[a1,a2,a3,a4,a6] |
j |
103823/63 |
j-invariant |
L |
1.5603166221717 |
L(r)(E,1)/r! |
Ω |
0.78015831108585 |
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 |
4032bm1 63a1 1344a1 100800fm1 |
Quadratic twists by: -4 8 -3 5 |