Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ff |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
137708828393472 = 215 · 36 · 78 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14700,389648] |
[a1,a2,a3,a4,a6] |
j |
125000/49 |
j-invariant |
L |
2.1201511759528 |
L(r)(E,1)/r! |
Ω |
0.53003779398795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224fh2 14112by2 3136z2 4032bg2 |
Quadratic twists by: -4 8 -3 -7 |