Atkin-Lehner |
3+ 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17385b |
Isogeny class |
Conductor |
17385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2625865848015 = -1 · 3 · 5 · 196 · 612 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1123,78832] |
[a1,a2,a3,a4,a6] |
Generators |
[9072:85240:343] |
Generators of the group modulo torsion |
j |
-156843708284089/2625865848015 |
j-invariant |
L |
5.555438995753 |
L(r)(E,1)/r! |
Ω |
0.68379496843239 |
Real period |
R |
8.1244221619368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52155j1 86925i1 |
Quadratic twists by: -3 5 |