Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040ce |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
542320423497388800 = 28 · 33 · 52 · 1112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-381916,-83523284] |
[a1,a2,a3,a4,a6] |
Generators |
[3006656748:-247765850981:438976] |
Generators of the group modulo torsion |
j |
13584145739344/1195803675 |
j-invariant |
L |
4.4606973153052 |
L(r)(E,1)/r! |
Ω |
0.19312613854751 |
Real period |
R |
11.548662829521 |
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 |
7260n2 116160jd2 87120fy2 2640o2 |
Quadratic twists by: -4 8 -3 -11 |