Atkin-Lehner |
2- 5+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
57850t |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
23140000000 = 28 · 57 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -6 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2880,59747] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:105:1] [-11:305:1] |
Generators of the group modulo torsion |
j |
169020650889/1480960 |
j-invariant |
L |
13.116984381946 |
L(r)(E,1)/r! |
Ω |
1.2078446299295 |
Real period |
R |
1.3574784431016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11570a1 |
Quadratic twists by: 5 |