Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440bz |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.1711129278464E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2736963,2397564738] |
[a1,a2,a3,a4,a6] |
Generators |
[-1689:46926:1] |
Generators of the group modulo torsion |
j |
-28124139978713043/14526050000000 |
j-invariant |
L |
5.0751170151937 |
L(r)(E,1)/r! |
Ω |
0.14345797846298 |
Real period |
R |
4.4221285821261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930a2 55440ce2 |
Quadratic twists by: -4 -3 |