Atkin-Lehner |
2- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832y |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-57769984 = -1 · 215 · 41 · 43 |
Discriminant |
Eigenvalues |
2- 0 -1 0 3 -5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52,336] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] |
Generators of the group modulo torsion |
j |
474552/1763 |
j-invariant |
L |
4.736932531307 |
L(r)(E,1)/r! |
Ω |
1.408216564115 |
Real period |
R |
1.6818906385471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832r1 56416a1 |
Quadratic twists by: -4 8 |