Atkin-Lehner |
2+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44608s |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
582862351885312 = 210 · 173 · 415 |
Discriminant |
Eigenvalues |
2+ 1 -2 1 4 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34289,2138807] |
[a1,a2,a3,a4,a6] |
Generators |
[194:1681:1] |
Generators of the group modulo torsion |
j |
4354124870864128/569201515513 |
j-invariant |
L |
6.7069884317898 |
L(r)(E,1)/r! |
Ω |
0.49763184857959 |
Real period |
R |
0.89852079081307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608bp1 5576f1 |
Quadratic twists by: -4 8 |