Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096cf |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-101829444864 = -1 · 28 · 3 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 4 -1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4916,131928] |
[a1,a2,a3,a4,a6] |
Generators |
[759:20838:1] |
Generators of the group modulo torsion |
j |
-8904784/69 |
j-invariant |
L |
7.0822593155244 |
L(r)(E,1)/r! |
Ω |
1.0678800678135 |
Real period |
R |
6.6320737028474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524c1 54096bh1 |
Quadratic twists by: -4 -7 |