Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850bq |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-30498398437500 = -1 · 22 · 38 · 510 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33688,-2397508] |
[a1,a2,a3,a4,a6] |
Generators |
[332:4634:1] |
Generators of the group modulo torsion |
j |
-270601485933241/1951897500 |
j-invariant |
L |
8.9198062744394 |
L(r)(E,1)/r! |
Ω |
0.17612198778887 |
Real period |
R |
3.1653508977014 |
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 |
53550bf1 3570h1 124950fp1 |
Quadratic twists by: -3 5 -7 |