Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44460k |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-20510301093750000 = -1 · 24 · 312 · 510 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57333,8683157] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:3125:1] |
Generators of the group modulo torsion |
j |
-1786858666145536/1758427734375 |
j-invariant |
L |
5.4184288760233 |
L(r)(E,1)/r! |
Ω |
0.34979434668112 |
Real period |
R |
1.2908605983861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14820f1 |
Quadratic twists by: -3 |