Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1040a |
Isogeny class |
Conductor |
1040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
16640 = 28 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23,-42] |
[a1,a2,a3,a4,a6] |
Generators |
[6:6:1] |
Generators of the group modulo torsion |
j |
5256144/65 |
j-invariant |
L |
2.3676351838733 |
L(r)(E,1)/r! |
Ω |
2.1816867292797 |
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 |
520a1 4160o1 9360r1 5200e1 |
Quadratic twists by: -4 8 -3 5 |