Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1682g |
Isogeny class |
Conductor |
1682 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-68999505236 = -1 · 22 · 297 |
Discriminant |
Eigenvalues |
2- 3 -3 -2 1 3 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-999,17779] |
[a1,a2,a3,a4,a6] |
j |
-185193/116 |
j-invariant |
L |
4.0597395954496 |
L(r)(E,1)/r! |
Ω |
1.0149348988624 |
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 |
13456l1 53824j1 15138h1 42050j1 |
Quadratic twists by: -4 8 -3 5 |