Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224dr |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-50833922981184 = -1 · 26 · 39 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9261,0] |
[a1,a2,a3,a4,a6] |
Generators |
[11486003750:-242055865225:523606616] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
6.8276617087043 |
L(r)(E,1)/r! |
Ω |
0.3780008244119 |
Real period |
R |
18.062557718827 |
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 |
28224dr1 14112f2 28224dv1 28224dw1 |
Quadratic twists by: -4 8 -3 -7 |