Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4160d |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
276889600 = 216 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,-336] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:15:1] |
Generators of the group modulo torsion |
j |
8586756/4225 |
j-invariant |
L |
3.8252674739274 |
L(r)(E,1)/r! |
Ω |
1.3861474681165 |
Real period |
R |
2.7596396212629 |
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 |
4160o2 520a2 37440bm2 20800a2 |
Quadratic twists by: -4 8 -3 5 |