Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944cr |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
2723217408 = 216 · 37 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 4 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,4880] |
[a1,a2,a3,a4,a6] |
j |
470596/57 |
j-invariant |
L |
2.7748224392073 |
L(r)(E,1)/r! |
Ω |
1.3874112196036 |
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 |
10944x1 2736h1 3648bc1 |
Quadratic twists by: -4 8 -3 |