Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7872bd |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-13221937152 = -1 · 214 · 39 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -5 -4 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43,-5517] |
[a1,a2,a3,a4,a6] |
Generators |
[22:81:1] |
Generators of the group modulo torsion |
j |
524288/807003 |
j-invariant |
L |
5.8780666559148 |
L(r)(E,1)/r! |
Ω |
0.58557087959008 |
Real period |
R |
1.1153534782691 |
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 |
7872c1 1968f1 23616cf1 |
Quadratic twists by: -4 8 -3 |