Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45486o |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-5.9954245525853E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 3 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3309039,2916436833] |
[a1,a2,a3,a4,a6] |
Generators |
[4044:285069:1] |
Generators of the group modulo torsion |
j |
323648023823/484243284 |
j-invariant |
L |
3.5581450552254 |
L(r)(E,1)/r! |
Ω |
0.09134052715466 |
Real period |
R |
3.2462270272757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
15162bf2 45486bo2 |
Quadratic twists by: -3 -19 |