Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bh |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-4337828094394368 = -1 · 214 · 38 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20580,2958032] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:848:1] |
Generators of the group modulo torsion |
j |
2000/9 |
j-invariant |
L |
5.0308712617092 |
L(r)(E,1)/r! |
Ω |
0.31303740639922 |
Real period |
R |
4.017787618082 |
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 |
28224fb1 3528h1 9408e1 28224bg1 |
Quadratic twists by: -4 8 -3 -7 |