Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598ba |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
16711680 |
Modular degree for the optimal curve |
Δ |
2.9576806662145E+22 |
Discriminant |
Eigenvalues |
2- 2 2 7- 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-590392037,-5521762350677] |
[a1,a2,a3,a4,a6] |
Generators |
[55151:11359716:1] |
Generators of the group modulo torsion |
j |
191913220541846010689/249408350464 |
j-invariant |
L |
15.960009703225 |
L(r)(E,1)/r! |
Ω |
0.030627705728105 |
Real period |
R |
8.142142732699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52598o1 |
Quadratic twists by: 17 |