Atkin-Lehner |
2- 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64272bd |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
9840613499338752 = 229 · 34 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 5 5 13- -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-464144,-121771500] |
[a1,a2,a3,a4,a6] |
j |
2699746096571246737/2402493530112 |
j-invariant |
L |
4.3900628281193 |
L(r)(E,1)/r! |
Ω |
0.18291928419685 |
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 |
8034e1 |
Quadratic twists by: -4 |