Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12696s |
Isogeny class |
Conductor |
12696 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-183922990848 = -1 · 28 · 310 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7444,245600] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:702:1] [8:432:1] |
Generators of the group modulo torsion |
j |
-14647977776/59049 |
j-invariant |
L |
6.3867465876279 |
L(r)(E,1)/r! |
Ω |
1.0160969965156 |
Real period |
R |
0.31427839121311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25392d1 101568i1 38088e1 12696p1 |
Quadratic twists by: -4 8 -3 -23 |