Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072bi |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
240470473039340544 = 210 · 314 · 74 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1238691,530106190] |
[a1,a2,a3,a4,a6] |
j |
281569217289833092/322132299489 |
j-invariant |
L |
2.4927988233526 |
L(r)(E,1)/r! |
Ω |
0.31159985278271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024q2 |
Quadratic twists by: -3 |