Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12936k |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1.0004381823034E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26169544,70496259056] |
[a1,a2,a3,a4,a6] |
j |
-8226100326647904626/4152140742401883 |
j-invariant |
L |
2.9447978000527 |
L(r)(E,1)/r! |
Ω |
0.081799938890352 |
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 |
25872f3 103488x3 38808ce3 1848b4 |
Quadratic twists by: -4 8 -3 -7 |