Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608g |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
7671080026112 = 228 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ -2 -4 0 -2 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38785,-2949921] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:52:1] |
Generators of the group modulo torsion |
j |
24614236831969/29262848 |
j-invariant |
L |
2.1204351223462 |
L(r)(E,1)/r! |
Ω |
0.34022300398007 |
Real period |
R |
3.1162430193416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44608bc1 1394f1 |
Quadratic twists by: -4 8 |