Atkin-Lehner |
2+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800z |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
1196032000 = 217 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 -3 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-353,-1823] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:20:1] [-7:16:1] |
Generators of the group modulo torsion |
j |
297754/73 |
j-invariant |
L |
9.2475159935856 |
L(r)(E,1)/r! |
Ω |
1.1208763258214 |
Real period |
R |
1.0312819280065 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800cp1 14600c1 116800bd1 |
Quadratic twists by: -4 8 5 |