Atkin-Lehner |
3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38829h |
Isogeny class |
Conductor |
38829 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
221643341864147763 = 32 · 72 · 439 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-389253,-90721674] |
[a1,a2,a3,a4,a6] |
j |
12977875/441 |
j-invariant |
L |
0.38306873056323 |
L(r)(E,1)/r! |
Ω |
0.19153436527227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116487f2 38829c2 |
Quadratic twists by: -3 -43 |