Atkin-Lehner |
2- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
47888h |
Isogeny class |
Conductor |
47888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1174149398528 = 217 · 412 · 732 |
Discriminant |
Eigenvalues |
2- 2 0 0 -4 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3728,-69184] |
[a1,a2,a3,a4,a6] |
Generators |
[322:5658:1] |
Generators of the group modulo torsion |
j |
1399290756625/286657568 |
j-invariant |
L |
8.2401656411285 |
L(r)(E,1)/r! |
Ω |
0.61976680925071 |
Real period |
R |
3.3238976007351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5986b2 |
Quadratic twists by: -4 |