Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240s |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
313247521440000 = 28 · 32 · 54 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34916,-2374116] |
[a1,a2,a3,a4,a6] |
Generators |
[-345226:569925:2744] |
Generators of the group modulo torsion |
j |
18389488072027984/1223623130625 |
j-invariant |
L |
6.6800894935681 |
L(r)(E,1)/r! |
Ω |
0.35071495621901 |
Real period |
R |
9.5235309681268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000074 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36120t2 |
Quadratic twists by: -4 |