Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040ci |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5305382304750000 = -1 · 24 · 32 · 56 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,38559,-1959120] |
[a1,a2,a3,a4,a6] |
Generators |
[4380:290130:1] |
Generators of the group modulo torsion |
j |
223673040896/187171875 |
j-invariant |
L |
3.7319447571213 |
L(r)(E,1)/r! |
Ω |
0.23750594272194 |
Real period |
R |
7.8565292184928 |
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 |
7260p3 116160jp3 87120gl3 2640p3 |
Quadratic twists by: -4 8 -3 -11 |