Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1040a |
Isogeny class |
Conductor |
1040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-292464640 = -1 · 211 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,157,322] |
[a1,a2,a3,a4,a6] |
Generators |
[7:42:1] |
Generators of the group modulo torsion |
j |
208974222/142805 |
j-invariant |
L |
2.3676351838733 |
L(r)(E,1)/r! |
Ω |
1.0908433646399 |
Real period |
R |
2.1704630202842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
520a4 4160o4 9360r4 5200e4 |
Quadratic twists by: -4 8 -3 5 |