Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872cu |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-4553472 = -1 · 28 · 3 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -3 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93,-393] |
[a1,a2,a3,a4,a6] |
Generators |
[11:6:1] |
Generators of the group modulo torsion |
j |
-7168000/363 |
j-invariant |
L |
6.548377702672 |
L(r)(E,1)/r! |
Ω |
0.76573964387234 |
Real period |
R |
2.1379256497538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6468c1 103488fd1 77616ev1 25872bd1 |
Quadratic twists by: -4 8 -3 -7 |