Atkin-Lehner |
2+ 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7224b |
Isogeny class |
Conductor |
7224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-69581568 = -1 · 28 · 3 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84,-528] |
[a1,a2,a3,a4,a6] |
j |
-259108432/271803 |
j-invariant |
L |
1.5122939846305 |
L(r)(E,1)/r! |
Ω |
0.75614699231527 |
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 |
14448e2 57792k2 21672h2 50568c2 |
Quadratic twists by: -4 8 -3 -7 |