Atkin-Lehner |
3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925p |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-54709705810546875 = -1 · 311 · 513 · 11 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 11+ -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,84075,-6212844] |
[a1,a2,a3,a4,a6] |
Generators |
[80:1012:1] [1330:28121:8] |
Generators of the group modulo torsion |
j |
5770012921856/4803046875 |
j-invariant |
L |
4.6272780497557 |
L(r)(E,1)/r! |
Ω |
0.19564055163945 |
Real period |
R |
1.478246077749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18975t1 11385o1 |
Quadratic twists by: -3 5 |