Atkin-Lehner |
2+ 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384c |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2338092269568 = 214 · 33 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22620,1307376] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:968:1] [34:760:1] |
Generators of the group modulo torsion |
j |
2893462182000/5285401 |
j-invariant |
L |
12.190731175185 |
L(r)(E,1)/r! |
Ω |
0.8186559476143 |
Real period |
R |
1.8613941564863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384cf2 7524c2 120384h2 |
Quadratic twists by: -4 8 -3 |