Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4032bf |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-334430208 = -1 · 216 · 36 · 7 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 0 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-880] |
[a1,a2,a3,a4,a6] |
Generators |
[26:128:1] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
2.705795997232 |
L(r)(E,1)/r! |
Ω |
0.77405436655285 |
Real period |
R |
1.7478074629835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4032p1 1008f1 448e1 100800mr1 |
Quadratic twists by: -4 8 -3 5 |