Atkin-Lehner |
2- 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410ba |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
55345680 = 24 · 36 · 5 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-878,10221] |
[a1,a2,a3,a4,a6] |
Generators |
[118:81:8] |
Generators of the group modulo torsion |
j |
102568953241/75920 |
j-invariant |
L |
10.160197319179 |
L(r)(E,1)/r! |
Ω |
1.9706520719301 |
Real period |
R |
2.5778770031436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490e1 |
Quadratic twists by: -3 |