Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784cl |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-42844374167003136 = -1 · 213 · 35 · 73 · 137 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -1 13+ -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-293440,61889972] |
[a1,a2,a3,a4,a6] |
Generators |
[212:3042:1] |
Generators of the group modulo torsion |
j |
-141339344329/2167074 |
j-invariant |
L |
7.9312601430565 |
L(r)(E,1)/r! |
Ω |
0.36194560025616 |
Real period |
R |
0.5478212842923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098u1 4368z1 |
Quadratic twists by: -4 13 |