Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352dw |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-3726268406784 = -1 · 210 · 39 · 75 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,99304] |
[a1,a2,a3,a4,a6] |
j |
-1235663104/4991679 |
j-invariant |
L |
2.745790772914 |
L(r)(E,1)/r! |
Ω |
0.68644769321156 |
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 |
44352by1 11088k1 14784cd1 |
Quadratic twists by: -4 8 -3 |