Atkin-Lehner |
2- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83776bc |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
22787072 = 210 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80,152] |
[a1,a2,a3,a4,a6] |
Generators |
[38:228:1] |
Generators of the group modulo torsion |
j |
55296000/22253 |
j-invariant |
L |
5.8619195866438 |
L(r)(E,1)/r! |
Ω |
1.9427022884861 |
Real period |
R |
3.0174049945538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83776f1 20944l1 |
Quadratic twists by: -4 8 |