Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600fa |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
183051900000000 = 28 · 310 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40575,-3077750] |
[a1,a2,a3,a4,a6] |
j |
2533446736/62775 |
j-invariant |
L |
1.3475694246604 |
L(r)(E,1)/r! |
Ω |
0.33689220721324 |
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 |
27900e2 37200dd2 22320br2 |
Quadratic twists by: -4 -3 5 |