Atkin-Lehner |
2+ 5- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59450g |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
166400 |
Modular degree for the optimal curve |
Δ |
1523406250000 = 24 · 59 · 29 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 0 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-127117,-17412459] |
[a1,a2,a3,a4,a6] |
Generators |
[3158:174683:1] |
Generators of the group modulo torsion |
j |
116307172903797/779984 |
j-invariant |
L |
3.7560230444603 |
L(r)(E,1)/r! |
Ω |
0.25284167606829 |
Real period |
R |
7.4276185455788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59450u1 |
Quadratic twists by: 5 |