Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120j |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-407983429324800 = -1 · 212 · 314 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18145,-1346543] |
[a1,a2,a3,a4,a6] |
j |
-161309006433856/99605329425 |
j-invariant |
L |
1.6004766036151 |
L(r)(E,1)/r! |
Ω |
0.20005957575284 |
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 |
57120cl2 114240cw1 |
Quadratic twists by: -4 8 |