Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cf |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24793655040 = 28 · 33 · 5 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-927,7786] |
[a1,a2,a3,a4,a6] |
Generators |
[50:294:1] |
Generators of the group modulo torsion |
j |
12745567728/3587045 |
j-invariant |
L |
5.6089180947219 |
L(r)(E,1)/r! |
Ω |
1.1129843079617 |
Real period |
R |
2.5197651281235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13860h2 55440by2 |
Quadratic twists by: -4 -3 |