Atkin-Lehner |
5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
33475b |
Isogeny class |
Conductor |
33475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-1359921875 = -1 · 57 · 132 · 103 |
Discriminant |
Eigenvalues |
-1 1 5+ 2 0 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1313,-18508] |
[a1,a2,a3,a4,a6] |
j |
-16022066761/87035 |
j-invariant |
L |
1.5856983707769 |
L(r)(E,1)/r! |
Ω |
0.39642459269432 |
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 |
6695a1 |
Quadratic twists by: 5 |