Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560br |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-8144255518464000000 = -1 · 214 · 3 · 56 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,145960,135567600] |
[a1,a2,a3,a4,a6] |
Generators |
[7900:703040:1] |
Generators of the group modulo torsion |
j |
17394111071/411937500 |
j-invariant |
L |
6.1010251277039 |
L(r)(E,1)/r! |
Ω |
0.17480478416822 |
Real period |
R |
1.4542472709225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5070k3 121680dl3 3120q3 |
Quadratic twists by: -4 -3 13 |