Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074s |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
2066275160083728 = 24 · 32 · 112 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104913,-12939105] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:522:1] |
Generators of the group modulo torsion |
j |
1076890625/17424 |
j-invariant |
L |
6.8835215695525 |
L(r)(E,1)/r! |
Ω |
0.26553281729801 |
Real period |
R |
3.2404288289096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222c1 19074z1 |
Quadratic twists by: -3 17 |