Atkin-Lehner |
2- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46784t |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-55380279296 = -1 · 218 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 1 1 0 -6 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34465,-2474273] |
[a1,a2,a3,a4,a6] |
j |
-17271547035049/211259 |
j-invariant |
L |
0.35039154267643 |
L(r)(E,1)/r! |
Ω |
0.17519577134334 |
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 |
46784h1 11696l1 |
Quadratic twists by: -4 8 |