Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
11160s |
Isogeny class |
Conductor |
11160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3254256000000 = 210 · 38 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4827,-95546] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:180:1] |
Generators of the group modulo torsion |
j |
16662038116/4359375 |
j-invariant |
L |
4.5629094640146 |
L(r)(E,1)/r! |
Ω |
0.58389211896565 |
Real period |
R |
0.65122039326055 |
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 |
22320p2 89280br2 3720d2 55800u2 |
Quadratic twists by: -4 8 -3 5 |