Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600cc |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-384321125088000 = -1 · 28 · 318 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3495,946550] |
[a1,a2,a3,a4,a6] |
j |
-202389392/16474671 |
j-invariant |
L |
1.7622027684457 |
L(r)(E,1)/r! |
Ω |
0.44055064615243 |
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 |
55800cd2 37200m2 111600ce2 |
Quadratic twists by: -4 -3 5 |