Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1050k |
Isogeny class |
Conductor |
1050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
139535156250000 = 24 · 36 · 512 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14438,344531] |
[a1,a2,a3,a4,a6] |
j |
21302308926361/8930250000 |
j-invariant |
L |
2.1048788972122 |
L(r)(E,1)/r! |
Ω |
0.52621972430304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8400cf2 33600cd2 3150k2 210b2 |
Quadratic twists by: -4 8 -3 5 |