Atkin-Lehner |
2+ 3- 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774r |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-578896025308102656 = -1 · 221 · 311 · 74 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- -2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17424,-36612864] |
[a1,a2,a3,a4,a6] |
j |
-802516169081089/794096056664064 |
j-invariant |
L |
1.0489785164912 |
L(r)(E,1)/r! |
Ω |
0.1311223129529 |
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 |
27258ba1 |
Quadratic twists by: -3 |