Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560bi |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-640728576552960 = -1 · 212 · 34 · 5 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21384,-193104] |
[a1,a2,a3,a4,a6] |
Generators |
[90:1566:1] |
Generators of the group modulo torsion |
j |
264003869234951/156427875135 |
j-invariant |
L |
4.2007958325384 |
L(r)(E,1)/r! |
Ω |
0.29994541534543 |
Real period |
R |
3.5013002607756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999730258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035h4 |
Quadratic twists by: -4 |