Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224o |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1859069183311872 = -1 · 214 · 39 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -6 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15876,1926288] |
[a1,a2,a3,a4,a6] |
j |
11664/49 |
j-invariant |
L |
1.3402761076435 |
L(r)(E,1)/r! |
Ω |
0.3350690269109 |
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 |
28224du2 3528e2 28224q2 4032d2 |
Quadratic twists by: -4 8 -3 -7 |