Atkin-Lehner |
2+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
56416g |
Isogeny class |
Conductor |
56416 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-208626368 = -1 · 26 · 41 · 433 |
Discriminant |
Eigenvalues |
2+ -1 -2 3 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-834,9580] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:106:1] [28:86:1] |
Generators of the group modulo torsion |
j |
-1003604321728/3259787 |
j-invariant |
L |
7.9647629444019 |
L(r)(E,1)/r! |
Ω |
1.7866625045341 |
Real period |
R |
0.74298334876602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56416c1 112832t1 |
Quadratic twists by: -4 8 |