Atkin-Lehner |
2- 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038bj |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-774343549224 = -1 · 23 · 314 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -2 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2164,16503] |
[a1,a2,a3,a4,a6] |
j |
4483962449/3096792 |
j-invariant |
L |
6.7990462671083 |
L(r)(E,1)/r! |
Ω |
0.56658718902455 |
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 |
17346i1 52038bs1 |
Quadratic twists by: -3 -7 |