Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11628d |
Isogeny class |
Conductor |
11628 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2.2128563828868E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 4 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-263847,-232259938] |
[a1,a2,a3,a4,a6] |
j |
-10884605672501584/118572980050089 |
j-invariant |
L |
1.6418019708761 |
L(r)(E,1)/r! |
Ω |
0.091211220604228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46512bj1 3876b1 |
Quadratic twists by: -4 -3 |