Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450f |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1695744 |
Modular degree for the optimal curve |
Δ |
633278900578750000 = 24 · 57 · 477 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 5 -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-608626,-178751852] |
[a1,a2,a3,a4,a6] |
j |
148035889/3760 |
j-invariant |
L |
2.7390797753735 |
L(r)(E,1)/r! |
Ω |
0.17119251245758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22090p1 2350a1 |
Quadratic twists by: 5 -47 |