Atkin-Lehner |
3- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74589i |
Isogeny class |
Conductor |
74589 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-561003218313219147 = -1 · 3 · 239 · 473 |
Discriminant |
Eigenvalues |
0 3- 0 4 0 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38793,-36169087] |
[a1,a2,a3,a4,a6] |
Generators |
[3586414585052:56991619601521:7392083392] |
Generators of the group modulo torsion |
j |
-43614208000/3789643323 |
j-invariant |
L |
8.3650502378931 |
L(r)(E,1)/r! |
Ω |
0.12875575109702 |
Real period |
R |
16.242090482602 |
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 |
3243c2 |
Quadratic twists by: -23 |