Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2982j |
Isogeny class |
Conductor |
2982 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-516500344769472 = -1 · 26 · 32 · 7 · 716 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-954428,-358972464] |
[a1,a2,a3,a4,a6] |
j |
-96150878306977529778625/516500344769472 |
j-invariant |
L |
4.1240828707362 |
L(r)(E,1)/r! |
Ω |
0.076371905013634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23856n3 95424k3 8946h3 74550a3 |
Quadratic twists by: -4 8 -3 5 |