Atkin-Lehner |
2- 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090ci |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3741770852174489400 = 23 · 322 · 52 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-472500,83268285] |
[a1,a2,a3,a4,a6] |
j |
958839021545760503/307534384168200 |
j-invariant |
L |
2.7578083801301 |
L(r)(E,1)/r! |
Ω |
0.22981734306283 |
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 |
111090by2 |
Quadratic twists by: -23 |