Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12006h |
Isogeny class |
Conductor |
12006 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7246965672 = 23 · 310 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11097,452709] |
[a1,a2,a3,a4,a6] |
Generators |
[55:53:1] |
Generators of the group modulo torsion |
j |
207317019156625/9940968 |
j-invariant |
L |
3.9596535984977 |
L(r)(E,1)/r! |
Ω |
1.2476606020826 |
Real period |
R |
1.586831223126 |
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 |
96048t2 4002n2 |
Quadratic twists by: -4 -3 |