Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
7872n |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-105775497216 = -1 · 217 · 39 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -2 3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,735,13887] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-432:1] |
Generators of the group modulo torsion |
j |
334568302/807003 |
j-invariant |
L |
5.037874996874 |
L(r)(E,1)/r! |
Ω |
0.7386227148575 |
Real period |
R |
0.1894620478364 |
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 |
7872v1 984a1 23616g1 |
Quadratic twists by: -4 8 -3 |