Atkin-Lehner |
7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73283a |
Isogeny class |
Conductor |
73283 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4108104 |
Modular degree for the optimal curve |
Δ |
-9.7387954837948E+20 |
Discriminant |
Eigenvalues |
0 3 2 7+ -2 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1330646,-1380327452] |
[a1,a2,a3,a4,a6] |
Generators |
[1303702526408640402647489222778563551502160465123953388191335717825927888152398038298325696:78839547680736403116128574342930200787944606440759352104400271349907724687329826874115684479:385208270682729136629576507885660506807548008629726398523274373592907962560253478567936] |
Generators of the group modulo torsion |
j |
15342018527232/57342475547 |
j-invariant |
L |
11.232208354424 |
L(r)(E,1)/r! |
Ω |
0.079520550547296 |
Real period |
R |
141.24912713907 |
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 |
73283c1 |
Quadratic twists by: -19 |