Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
43056bz |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-55800576 = -1 · 28 · 36 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -5 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,-756] |
[a1,a2,a3,a4,a6] |
Generators |
[22:82:1] |
Generators of the group modulo torsion |
j |
-1769472/299 |
j-invariant |
L |
3.6573472865795 |
L(r)(E,1)/r! |
Ω |
0.68278347050784 |
Real period |
R |
2.6782629080501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10764i1 4784g1 |
Quadratic twists by: -4 -3 |