Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224y |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
4303400887296 = 210 · 36 · 78 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -1 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12348,518616] |
[a1,a2,a3,a4,a6] |
j |
48384 |
j-invariant |
L |
0.77738482038475 |
L(r)(E,1)/r! |
Ω |
0.77738482038384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224eo1 3528g1 3136c1 28224bp1 |
Quadratic twists by: -4 8 -3 -7 |