Atkin-Lehner |
2+ 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64080k |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
461952720 = 24 · 36 · 5 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-282,-1501] |
[a1,a2,a3,a4,a6] |
j |
212629504/39605 |
j-invariant |
L |
1.1800282925274 |
L(r)(E,1)/r! |
Ω |
1.1800282956696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32040i1 7120d1 |
Quadratic twists by: -4 -3 |