Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576j |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1031168 |
Modular degree for the optimal curve |
Δ |
-163547036549125632 = -1 · 29 · 325 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -5 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110595,24062074] |
[a1,a2,a3,a4,a6] |
Generators |
[938:27306:1] |
Generators of the group modulo torsion |
j |
-400804604117000/438172573059 |
j-invariant |
L |
3.4412183923344 |
L(r)(E,1)/r! |
Ω |
0.2931976890687 |
Real period |
R |
5.8684268789083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999814173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576i1 36192z1 |
Quadratic twists by: -4 -3 |