Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600fm |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
8678016000000000 = 216 · 37 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-876675,315909250] |
[a1,a2,a3,a4,a6] |
j |
1597099875769/186000 |
j-invariant |
L |
1.5858379562976 |
L(r)(E,1)/r! |
Ω |
0.39645957057875 |
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 |
13950r1 37200dh1 22320cg1 |
Quadratic twists by: -4 -3 5 |