Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64080q |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
1494858240000 = 212 · 38 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3603,58898] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:360:1] |
Generators of the group modulo torsion |
j |
1732323601/500625 |
j-invariant |
L |
5.8423645239387 |
L(r)(E,1)/r! |
Ω |
0.78968178111606 |
Real period |
R |
1.8495945655959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4005c1 21360j1 |
Quadratic twists by: -4 -3 |