Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12006b |
Isogeny class |
Conductor |
12006 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-115409725574086656 = -1 · 219 · 315 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 0 -2 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-249354,-50574348] |
[a1,a2,a3,a4,a6] |
j |
-2352048005459422369/158312380760064 |
j-invariant |
L |
0.42563934163608 |
L(r)(E,1)/r! |
Ω |
0.10640983540902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96048bh1 4002r1 |
Quadratic twists by: -4 -3 |