Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480r |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
57750000000000 = 210 · 3 · 512 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10136,-146940] |
[a1,a2,a3,a4,a6] |
j |
112477694831716/56396484375 |
j-invariant |
L |
2.0053897610697 |
L(r)(E,1)/r! |
Ω |
0.50134744026742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240c4 73920fn3 55440bf3 92400o3 |
Quadratic twists by: -4 8 -3 5 |