Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560ca |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-296559144960 = -1 · 212 · 3 · 5 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-26220] |
[a1,a2,a3,a4,a6] |
Generators |
[124872:1951443:512] |
Generators of the group modulo torsion |
j |
-1/15 |
j-invariant |
L |
6.3458807935519 |
L(r)(E,1)/r! |
Ω |
0.44271793691975 |
Real period |
R |
7.1669569542469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2535a1 121680en1 240d1 |
Quadratic twists by: -4 -3 13 |