Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944co |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-115524874944 = -1 · 26 · 36 · 195 |
Discriminant |
Eigenvalues |
2- 3- 3 5 5 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126,-16362] |
[a1,a2,a3,a4,a6] |
j |
-4741632/2476099 |
j-invariant |
L |
4.7238987602726 |
L(r)(E,1)/r! |
Ω |
0.47238987602726 |
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 |
10944cc1 5472h1 1216n1 |
Quadratic twists by: -4 8 -3 |