Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224ez |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-806887666368 = -1 · 26 · 37 · 78 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -6 -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2058,-24010] |
[a1,a2,a3,a4,a6] |
Generators |
[49:441:1] |
Generators of the group modulo torsion |
j |
3584/3 |
j-invariant |
L |
2.3801004499619 |
L(r)(E,1)/r! |
Ω |
0.494106381745 |
Real period |
R |
0.40141498165439 |
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 |
28224ey1 14112m1 9408bt1 28224gn1 |
Quadratic twists by: -4 8 -3 -7 |