Atkin-Lehner |
3- 5- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
59085g |
Isogeny class |
Conductor |
59085 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
23929425 = 36 · 52 · 13 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6152,-184174] |
[a1,a2,a3,a4,a6] |
j |
35316607651129/32825 |
j-invariant |
L |
2.1563090379652 |
L(r)(E,1)/r! |
Ω |
0.53907726026165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6565a1 |
Quadratic twists by: -3 |