Atkin-Lehner |
2+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52142g |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
48387776 = 26 · 293 · 31 |
Discriminant |
Eigenvalues |
2+ 2 3 -4 6 0 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-771,-8563] |
[a1,a2,a3,a4,a6] |
j |
2082440933/1984 |
j-invariant |
L |
3.6236602542002 |
L(r)(E,1)/r! |
Ω |
0.90591506339692 |
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 |
52142t1 |
Quadratic twists by: 29 |