Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742bh |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9461760 |
Modular degree for the optimal curve |
Δ |
196858781287260048 = 24 · 33 · 11 · 2310 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-101776790,395229356181] |
[a1,a2,a3,a4,a6] |
j |
29170184477654905875/49252016 |
j-invariant |
L |
0.82026154591979 |
L(r)(E,1)/r! |
Ω |
0.20506542695288 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104742b1 4554s1 |
Quadratic twists by: -3 -23 |