Atkin-Lehner |
2- 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
10224k |
Isogeny class |
Conductor |
10224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
25400832768 = 28 · 39 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783,-3510] |
[a1,a2,a3,a4,a6] |
Generators |
[-8610:6210:343] |
Generators of the group modulo torsion |
j |
10536048/5041 |
j-invariant |
L |
5.4557986670502 |
L(r)(E,1)/r! |
Ω |
0.94629201316717 |
Real period |
R |
5.7654493445317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2556a2 40896bl2 10224h2 |
Quadratic twists by: -4 8 -3 |