Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224eh |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-15801827328 = -1 · 214 · 39 · 72 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 -3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9072,332640] |
[a1,a2,a3,a4,a6] |
Generators |
[57:27:1] |
Generators of the group modulo torsion |
j |
-5225472 |
j-invariant |
L |
2.9617950617472 |
L(r)(E,1)/r! |
Ω |
1.204361155126 |
Real period |
R |
1.2296125000135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224u1 7056k1 28224ef1 28224dg1 |
Quadratic twists by: -4 8 -3 -7 |