Atkin-Lehner |
2+ 3- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
57816b |
Isogeny class |
Conductor |
57816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
43261916341248 = 210 · 314 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24555,1446806] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1584:1] |
Generators of the group modulo torsion |
j |
2193390926500/57953313 |
j-invariant |
L |
4.5744268627963 |
L(r)(E,1)/r! |
Ω |
0.63966916993022 |
Real period |
R |
1.7878096513562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115632i1 19272e1 |
Quadratic twists by: -4 -3 |