Atkin-Lehner |
2- 3+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570q |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2399030899214400 = 26 · 39 · 52 · 116 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42849272,-107949388229] |
[a1,a2,a3,a4,a6] |
j |
442041204265621405270587/121883396800 |
j-invariant |
L |
6.3729050654915 |
L(r)(E,1)/r! |
Ω |
0.059008380236312 |
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 |
42570b1 |
Quadratic twists by: -3 |