Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24480g |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
59486400000000 = 212 · 37 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9948,90272] |
[a1,a2,a3,a4,a6] |
j |
36462258496/19921875 |
j-invariant |
L |
2.1756139870741 |
L(r)(E,1)/r! |
Ω |
0.54390349676853 |
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 |
24480bb3 48960cn1 8160k3 122400dl3 |
Quadratic twists by: -4 8 -3 5 |