Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2982j |
Isogeny class |
Conductor |
2982 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
2272854352301568 = 29 · 312 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188668,-31474672] |
[a1,a2,a3,a4,a6] |
j |
742708839902305074625/2272854352301568 |
j-invariant |
L |
4.1240828707362 |
L(r)(E,1)/r! |
Ω |
0.2291157150409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
23856n2 95424k2 8946h2 74550a2 |
Quadratic twists by: -4 8 -3 5 |