Atkin-Lehner |
2+ 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
65736h |
Isogeny class |
Conductor |
65736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1054273968 = -1 · 24 · 38 · 112 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,150,1393] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:27:1] |
Generators of the group modulo torsion |
j |
32000000/90387 |
j-invariant |
L |
6.1803086286218 |
L(r)(E,1)/r! |
Ω |
1.0925944471088 |
Real period |
R |
1.4141360146711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21912e1 |
Quadratic twists by: -3 |