Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3960s |
Isogeny class |
Conductor |
3960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-32076000000 = -1 · 28 · 36 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,153,8586] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:90:1] |
Generators of the group modulo torsion |
j |
2122416/171875 |
j-invariant |
L |
3.6616470553571 |
L(r)(E,1)/r! |
Ω |
0.89441118819621 |
Real period |
R |
0.17057996290748 |
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 |
7920k2 31680j2 440a2 19800i2 |
Quadratic twists by: -4 8 -3 5 |