Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64080v |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1700816486400 = 220 · 36 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7443,239058] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:640:1] |
Generators of the group modulo torsion |
j |
15271450641/569600 |
j-invariant |
L |
4.3340141194009 |
L(r)(E,1)/r! |
Ω |
0.83371840383 |
Real period |
R |
1.2996037089919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8010a1 7120o1 |
Quadratic twists by: -4 -3 |