Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cq |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
32000 |
Modular degree for the optimal curve |
Δ |
2867400000 = 26 · 35 · 55 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1121,-14595] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:15:1] |
Generators of the group modulo torsion |
j |
2436396322816/44803125 |
j-invariant |
L |
7.6255035480808 |
L(r)(E,1)/r! |
Ω |
0.8259442345846 |
Real period |
R |
1.8464935594661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640e1 14160t1 |
Quadratic twists by: -4 8 |