Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10512v |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20622352121856 = 216 · 310 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14259,-617870] |
[a1,a2,a3,a4,a6] |
j |
107375065777/6906384 |
j-invariant |
L |
3.509264101588 |
L(r)(E,1)/r! |
Ω |
0.4386580126985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1314c2 42048ck2 3504x2 |
Quadratic twists by: -4 8 -3 |