Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400w |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
64972800 = 211 · 33 · 52 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 0 -5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12448,-538732] |
[a1,a2,a3,a4,a6] |
Generators |
[-518:3:8] |
Generators of the group modulo torsion |
j |
4166653427090/1269 |
j-invariant |
L |
4.9522514004838 |
L(r)(E,1)/r! |
Ω |
0.45198264608022 |
Real period |
R |
1.8261215128041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200v1 56400j1 |
Quadratic twists by: -4 5 |