Atkin-Lehner |
2- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
10318i |
Isogeny class |
Conductor |
10318 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
651395893456 = 24 · 73 · 116 · 67 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11+ -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-168784,-26703824] |
[a1,a2,a3,a4,a6] |
j |
531762488194897403137/651395893456 |
j-invariant |
L |
5.6529871228046 |
L(r)(E,1)/r! |
Ω |
0.23554113011686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544v2 92862z2 72226k2 113498c2 |
Quadratic twists by: -4 -3 -7 -11 |