Atkin-Lehner |
2- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28594m |
Isogeny class |
Conductor |
28594 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
243600 |
Modular degree for the optimal curve |
Δ |
-289142426691458 = -1 · 2 · 172 · 298 |
Discriminant |
Eigenvalues |
2- -3 -2 2 -3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1524,-818175] |
[a1,a2,a3,a4,a6] |
j |
783/578 |
j-invariant |
L |
1.5337004962863 |
L(r)(E,1)/r! |
Ω |
0.25561674938101 |
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 |
28594b1 |
Quadratic twists by: 29 |