Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728ea |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
235791876096 = 215 · 34 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-127937,-17656065] |
[a1,a2,a3,a4,a6] |
Generators |
[1018:30135:1] |
Generators of the group modulo torsion |
j |
7067497440705416/7195797 |
j-invariant |
L |
8.7659659573087 |
L(r)(E,1)/r! |
Ω |
0.25243539999865 |
Real period |
R |
4.3406976385642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728dm4 24864p4 |
Quadratic twists by: -4 8 |