Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43472v |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
24450043904 = 212 · 11 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11- 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-971,8890] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:130:1] |
Generators of the group modulo torsion |
j |
24718462497/5969249 |
j-invariant |
L |
4.580077897642 |
L(r)(E,1)/r! |
Ω |
1.1236564115039 |
Real period |
R |
1.0190120954132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2717a1 |
Quadratic twists by: -4 |