Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361j |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9.8498088752076E+18 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 11- -7 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-150998290] |
[a1,a2,a3,a4,a6] |
Generators |
[2089230:58496170:2197] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
3.4816233843008 |
L(r)(E,1)/r! |
Ω |
0.10524538059267 |
Real period |
R |
8.2702522540168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361j1 53361c2 441a2 |
Quadratic twists by: -3 -7 -11 |