Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440eb |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-168399000000000000 = -1 · 212 · 37 · 512 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,130533,7766026] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:1440:1] [-33:1850:1] |
Generators of the group modulo torsion |
j |
82375335041831/56396484375 |
j-invariant |
L |
10.161510301241 |
L(r)(E,1)/r! |
Ω |
0.203175694784 |
Real period |
R |
4.1677845669672 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3465t4 18480cq4 |
Quadratic twists by: -4 -3 |