Atkin-Lehner |
2- 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24472b |
Isogeny class |
Conductor |
24472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14878976 = 28 · 7 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 4 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-852,9860] |
[a1,a2,a3,a4,a6] |
j |
267492843088/58121 |
j-invariant |
L |
4.315017272591 |
L(r)(E,1)/r! |
Ω |
2.1575086362956 |
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 |
48944g2 |
Quadratic twists by: -4 |