Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545i |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
2318400 |
Modular degree for the optimal curve |
Δ |
-5.0993299313954E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 5 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,505184,-1077594175] |
[a1,a2,a3,a4,a6] |
Generators |
[2689:139105:1] |
Generators of the group modulo torsion |
j |
182074754111/6511640625 |
j-invariant |
L |
4.7039160328882 |
L(r)(E,1)/r! |
Ω |
0.079478642396175 |
Real period |
R |
3.9456436690637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55545z1 |
Quadratic twists by: -23 |