Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ds |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-592704 = -1 · 26 · 33 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,0] |
[a1,a2,a3,a4,a6] |
Generators |
[50:155:8] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
6.2375980232339 |
L(r)(E,1)/r! |
Ω |
1.7322173906233 |
Real period |
R |
3.6009325717424 |
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 |
28224ds1 14112bk2 28224dw1 28224dv1 |
Quadratic twists by: -4 8 -3 -7 |