Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10580k |
Isogeny class |
Conductor |
10580 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
33120 |
Modular degree for the optimal curve |
Δ |
100238061159680 = 28 · 5 · 238 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -1 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32445,-2186455] |
[a1,a2,a3,a4,a6] |
j |
188416/5 |
j-invariant |
L |
3.2066932312889 |
L(r)(E,1)/r! |
Ω |
0.35629924792098 |
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 |
42320bb1 95220n1 52900o1 10580d1 |
Quadratic twists by: -4 -3 5 -23 |