Atkin-Lehner |
2- 3- 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
69084c |
Isogeny class |
Conductor |
69084 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
9669549312 = 28 · 39 · 19 · 101 |
Discriminant |
Eigenvalues |
2- 3- 0 2 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28920,-1892972] |
[a1,a2,a3,a4,a6] |
Generators |
[-24537429:565165:250047] |
Generators of the group modulo torsion |
j |
14333461504000/51813 |
j-invariant |
L |
7.686913090642 |
L(r)(E,1)/r! |
Ω |
0.36610029321703 |
Real period |
R |
10.498370574359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23028b1 |
Quadratic twists by: -3 |