Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4032g |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-83607552 = -1 · 214 · 36 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,-432] |
[a1,a2,a3,a4,a6] |
j |
432/7 |
j-invariant |
L |
1.874848804118 |
L(r)(E,1)/r! |
Ω |
0.93742440205898 |
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 |
4032bj1 504c1 448a1 100800fp1 |
Quadratic twists by: -4 8 -3 5 |