Atkin-Lehner |
13+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
73853a |
Isogeny class |
Conductor |
73853 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1881600 |
Modular degree for the optimal curve |
Δ |
-1.8057482384486E+20 |
Discriminant |
Eigenvalues |
0 0 -1 -1 3 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6155318,-5913372150] |
[a1,a2,a3,a4,a6] |
Generators |
[142083560325252:19401329115315091:7483530816] |
Generators of the group modulo torsion |
j |
-5343367962759561216/37410807812131 |
j-invariant |
L |
4.0141755380677 |
L(r)(E,1)/r! |
Ω |
0.047904388371687 |
Real period |
R |
20.948892546764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5681e1 |
Quadratic twists by: 13 |