Atkin-Lehner |
2- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
112832r |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
4 |
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 |
[5:7:1] [14:56:1] |
Generators of the group modulo torsion |
j |
474552/1763 |
j-invariant |
L |
10.194125245716 |
L(r)(E,1)/r! |
Ω |
1.0064844208006 |
Real period |
R |
2.5321120304121 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832y1 56416f1 |
Quadratic twists by: -4 8 |