Atkin-Lehner |
2- 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44460b |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
2503809360 = 24 · 33 · 5 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34308,2445913] |
[a1,a2,a3,a4,a6] |
j |
10337753432604672/5795855 |
j-invariant |
L |
1.1892952972929 |
L(r)(E,1)/r! |
Ω |
1.1892952973834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
44460d3 |
Quadratic twists by: -3 |