Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12006h |
Isogeny class |
Conductor |
12006 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-8122203072 = -1 · 26 · 38 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-657,7965] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:111:1] |
Generators of the group modulo torsion |
j |
-43059012625/11141568 |
j-invariant |
L |
3.9596535984977 |
L(r)(E,1)/r! |
Ω |
1.2476606020826 |
Real period |
R |
0.79341561156299 |
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 |
96048t1 4002n1 |
Quadratic twists by: -4 -3 |