Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12696l |
Isogeny class |
Conductor |
12696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-336138314292870912 = -1 · 28 · 36 · 239 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44612,-28114332] |
[a1,a2,a3,a4,a6] |
Generators |
[1365572:29793798:2197] |
Generators of the group modulo torsion |
j |
-21296/729 |
j-invariant |
L |
4.9521015881665 |
L(r)(E,1)/r! |
Ω |
0.13251578724897 |
Real period |
R |
9.3424747552204 |
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 |
25392l2 101568bk2 38088k2 12696n2 |
Quadratic twists by: -4 8 -3 -23 |