Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
123704d |
Isogeny class |
Conductor |
123704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
540857908347904 = 210 · 72 · 476 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41971,-3114690] |
[a1,a2,a3,a4,a6] |
Generators |
[80661:48768:343] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
2.9191045600295 |
L(r)(E,1)/r! |
Ω |
0.33493686472241 |
Real period |
R |
8.7153875802755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998939791 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56a2 |
Quadratic twists by: -47 |