Atkin-Lehner |
2+ 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
47808x |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-91827942088015872 = -1 · 215 · 310 · 834 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51564,15260272] |
[a1,a2,a3,a4,a6] |
Generators |
[21505:423549:125] |
Generators of the group modulo torsion |
j |
-634725648584/3844124001 |
j-invariant |
L |
8.586557394392 |
L(r)(E,1)/r! |
Ω |
0.29242477080358 |
Real period |
R |
3.6704129795518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47808m3 23904r2 15936j4 |
Quadratic twists by: -4 8 -3 |