Atkin-Lehner |
2+ 3- 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330g |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-385732125000 = -1 · 23 · 37 · 56 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -1 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1584,-38618] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1614:1] |
Generators of the group modulo torsion |
j |
-439131970468729/385732125000 |
j-invariant |
L |
4.325708298864 |
L(r)(E,1)/r! |
Ω |
0.36501342737822 |
Real period |
R |
0.8464871180874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990ch1 |
Quadratic twists by: -3 |