Atkin-Lehner |
2- 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44460t |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-648226800 = -1 · 24 · 38 · 52 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 13- 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417,-3499] |
[a1,a2,a3,a4,a6] |
j |
-687518464/55575 |
j-invariant |
L |
2.103242562104 |
L(r)(E,1)/r! |
Ω |
0.52581064050931 |
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 |
14820b1 |
Quadratic twists by: -3 |