Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224gc |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
768144384 = 210 · 37 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336,-1960] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:20:1] [-7:7:1] |
Generators of the group modulo torsion |
j |
16384/3 |
j-invariant |
L |
7.3666773746496 |
L(r)(E,1)/r! |
Ω |
1.1291751528014 |
Real period |
R |
3.2619728464505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224cg1 7056bt1 9408cb1 28224fs1 |
Quadratic twists by: -4 8 -3 -7 |