Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
47712k |
Isogeny class |
Conductor |
47712 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
17213262829056 = 29 · 33 · 72 · 714 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15792,732060] |
[a1,a2,a3,a4,a6] |
j |
850731782173064/33619653963 |
j-invariant |
L |
4.1210287740862 |
L(r)(E,1)/r! |
Ω |
0.68683812913194 |
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 |
47712m3 95424q3 |
Quadratic twists by: -4 8 |