Atkin-Lehner |
2+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46400bd |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-68894720000 = -1 · 217 · 54 · 292 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 -5 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,15937] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-80:1] [3:116:1] |
Generators of the group modulo torsion |
j |
-781250/841 |
j-invariant |
L |
7.486410673221 |
L(r)(E,1)/r! |
Ω |
0.99694286573528 |
Real period |
R |
0.31289032578699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400cm1 5800n1 46400d1 |
Quadratic twists by: -4 8 5 |