Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560ca |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3242874250137600 = 212 · 38 · 52 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-365096,84744180] |
[a1,a2,a3,a4,a6] |
Generators |
[4:9126:1] |
Generators of the group modulo torsion |
j |
272223782641/164025 |
j-invariant |
L |
6.3458807935519 |
L(r)(E,1)/r! |
Ω |
0.44271793691975 |
Real period |
R |
0.89586961928086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2535a5 121680en6 240d5 |
Quadratic twists by: -4 -3 13 |