Atkin-Lehner |
3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1785n |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-742780064187984375 = -1 · 314 · 56 · 7 · 175 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,115937,-38571787] |
[a1,a2,a3,a4,a6] |
j |
172343644217341694999/742780064187984375 |
j-invariant |
L |
3.0224049494937 |
L(r)(E,1)/r! |
Ω |
0.14392404521399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560co1 114240v1 5355j1 8925f1 |
Quadratic twists by: -4 8 -3 5 |