Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598bl |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-123145215740411904 = -1 · 216 · 35 · 13 · 296 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16417,16901705] |
[a1,a2,a3,a4,a6] |
j |
-822656953/207028224 |
j-invariant |
L |
10.773567589905 |
L(r)(E,1)/r! |
Ω |
0.26933918981551 |
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 |
78a1 |
Quadratic twists by: 29 |