Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120cg |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4935168000 = 212 · 34 · 53 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79345,-8629057] |
[a1,a2,a3,a4,a6] |
j |
13487390477390656/1204875 |
j-invariant |
L |
3.4135043092749 |
L(r)(E,1)/r! |
Ω |
0.28445869267594 |
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 |
57120p4 114240g1 |
Quadratic twists by: -4 8 |