Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24552g |
Isogeny class |
Conductor |
24552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
1917563839488 = 210 · 311 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7275,-229354] |
[a1,a2,a3,a4,a6] |
j |
57042062500/2568753 |
j-invariant |
L |
2.0735270331874 |
L(r)(E,1)/r! |
Ω |
0.5183817582969 |
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 |
49104h1 8184j1 |
Quadratic twists by: -4 -3 |