Atkin-Lehner |
3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
44055f |
Isogeny class |
Conductor |
44055 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-23412633255 = -1 · 314 · 5 · 11 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,675,2776] |
[a1,a2,a3,a4,a6] |
Generators |
[252:3890:1] |
Generators of the group modulo torsion |
j |
46617130799/32116095 |
j-invariant |
L |
4.2301919469841 |
L(r)(E,1)/r! |
Ω |
0.75808720847506 |
Real period |
R |
5.5800861690869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14685c1 |
Quadratic twists by: -3 |