Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12696n |
Isogeny class |
Conductor |
12696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2270654208 = -1 · 28 · 36 · 233 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84,2340] |
[a1,a2,a3,a4,a6] |
Generators |
[8:46:1] |
Generators of the group modulo torsion |
j |
-21296/729 |
j-invariant |
L |
3.0515211722424 |
L(r)(E,1)/r! |
Ω |
1.2156970745618 |
Real period |
R |
0.62752498876877 |
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 |
25392p2 101568bc2 38088d2 12696l2 |
Quadratic twists by: -4 8 -3 -23 |