Atkin-Lehner |
2- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44992bb |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
768527883567104 = 223 · 195 · 37 |
Discriminant |
Eigenvalues |
2- 2 -3 -4 -5 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39297,2698529] |
[a1,a2,a3,a4,a6] |
Generators |
[23:1344:1] |
Generators of the group modulo torsion |
j |
25601949246817/2931701216 |
j-invariant |
L |
4.4187935552151 |
L(r)(E,1)/r! |
Ω |
0.48838334336528 |
Real period |
R |
4.5238987111776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992v1 11248n1 |
Quadratic twists by: -4 8 |