Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136p |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-201624463872 = -1 · 29 · 313 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 3 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1005,-17786] |
[a1,a2,a3,a4,a6] |
j |
300763000/540189 |
j-invariant |
L |
4.20862061583 |
L(r)(E,1)/r! |
Ω |
0.52607757552539 |
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 |
71136bj1 23712t1 |
Quadratic twists by: -4 -3 |