Atkin-Lehner |
2+ 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
15582a |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
228080247026688 = 210 · 36 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -3 5 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-674559,-213524667] |
[a1,a2,a3,a4,a6] |
j |
5888439551422393/39564288 |
j-invariant |
L |
1.9990603564654 |
L(r)(E,1)/r! |
Ω |
0.16658836303879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656df1 46746ba1 15582l1 |
Quadratic twists by: -4 -3 -7 |