Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608be |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-365428736 = -1 · 219 · 17 · 41 |
Discriminant |
Eigenvalues |
2- -3 -3 0 -3 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116,784] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:16:1] [2:-32:1] |
Generators of the group modulo torsion |
j |
658503/1394 |
j-invariant |
L |
4.4716104594871 |
L(r)(E,1)/r! |
Ω |
1.1767083271743 |
Real period |
R |
0.95002524334627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608h1 11152p1 |
Quadratic twists by: -4 8 |