Atkin-Lehner |
5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75205b |
Isogeny class |
Conductor |
75205 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-12709645 = -1 · 5 · 134 · 89 |
Discriminant |
Eigenvalues |
1 -2 5+ 2 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4,171] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-14:1] |
Generators of the group modulo torsion |
j |
-169/445 |
j-invariant |
L |
2.544166076042 |
L(r)(E,1)/r! |
Ω |
1.8054470347468 |
Real period |
R |
0.46972043025157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75205c1 |
Quadratic twists by: 13 |