Atkin-Lehner |
2- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59072b |
Isogeny class |
Conductor |
59072 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
-59072 = -1 · 26 · 13 · 71 |
Discriminant |
Eigenvalues |
2- 1 0 0 -4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3,-13] |
[a1,a2,a3,a4,a6] |
j |
-64000/923 |
j-invariant |
L |
1.5050048452876 |
L(r)(E,1)/r! |
Ω |
1.5050048453593 |
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 |
59072c1 29536a1 |
Quadratic twists by: -4 8 |