Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32144ba |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
48576269738049536 = 222 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 2 2 7- 6 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1616232,791335280] |
[a1,a2,a3,a4,a6] |
j |
968917714969177/100803584 |
j-invariant |
L |
6.1675522198051 |
L(r)(E,1)/r! |
Ω |
0.34264178998939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4018h1 128576da1 4592k1 |
Quadratic twists by: -4 8 -7 |