Atkin-Lehner |
2- 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
44676k |
Isogeny class |
Conductor |
44676 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1016537510448 = -1 · 24 · 311 · 173 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -4 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2400,-17467] |
[a1,a2,a3,a4,a6] |
Generators |
[578:5841:8] |
Generators of the group modulo torsion |
j |
131072000000/87151707 |
j-invariant |
L |
4.9058071733475 |
L(r)(E,1)/r! |
Ω |
0.49903217526529 |
Real period |
R |
4.9153215128218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14892d1 |
Quadratic twists by: -3 |