Atkin-Lehner |
2- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46784v |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
148834500608 = 214 · 173 · 432 |
Discriminant |
Eigenvalues |
2- 2 4 -2 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6321,-190447] |
[a1,a2,a3,a4,a6] |
j |
1705021456336/9084137 |
j-invariant |
L |
4.2847616787541 |
L(r)(E,1)/r! |
Ω |
0.53559520989837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46784i1 11696c1 |
Quadratic twists by: -4 8 |