Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176a |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3784704 |
Modular degree for the optimal curve |
Δ |
-3.0392044177222E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13846575,-20008363826] |
[a1,a2,a3,a4,a6] |
Generators |
[9927709744011845159268614246590:-2336123749114555310046472361987778:178466678396838477626234129] |
Generators of the group modulo torsion |
j |
-10627137250000/110008287 |
j-invariant |
L |
6.7551727114801 |
L(r)(E,1)/r! |
Ω |
0.039108033553356 |
Real period |
R |
43.18276897222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38088q1 25392f1 3312d1 |
Quadratic twists by: -4 -3 -23 |