Atkin-Lehner |
2- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48944t |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
736208875716608 = 215 · 76 · 192 · 232 |
Discriminant |
Eigenvalues |
2- -2 2 7- -2 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-249072,-47910188] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:112:1] |
Generators of the group modulo torsion |
j |
417196092395667313/179738495048 |
j-invariant |
L |
4.8973628949954 |
L(r)(E,1)/r! |
Ω |
0.21371224756337 |
Real period |
R |
0.9548202764136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118j2 |
Quadratic twists by: -4 |