Atkin-Lehner |
2- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
128122j |
Isogeny class |
Conductor |
128122 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-884376366864812084 = -1 · 22 · 295 · 476 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 3 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1005141,390083407] |
[a1,a2,a3,a4,a6] |
j |
-10418796526321/82044596 |
j-invariant |
L |
2.8202055305076 |
L(r)(E,1)/r! |
Ω |
0.28202052429772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58b2 |
Quadratic twists by: -47 |