Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1040a |
Isogeny class |
Conductor |
1040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4326400 = 210 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43,42] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
8586756/4225 |
j-invariant |
L |
2.3676351838733 |
L(r)(E,1)/r! |
Ω |
2.1816867292797 |
Real period |
R |
1.0852315101421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
520a2 4160o2 9360r2 5200e2 |
Quadratic twists by: -4 8 -3 5 |