Atkin-Lehner |
2- 3+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
108072h |
Isogeny class |
Conductor |
108072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
143702906112 = 28 · 39 · 192 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 -2 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4106727,-3203257590] |
[a1,a2,a3,a4,a6] |
Generators |
[585368217:-888857164:250047] |
Generators of the group modulo torsion |
j |
1520127287144482032/28519 |
j-invariant |
L |
6.059722527173 |
L(r)(E,1)/r! |
Ω |
0.10605364420594 |
Real period |
R |
14.28456938313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999524714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108072a2 |
Quadratic twists by: -3 |