Atkin-Lehner |
2+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44506c |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3603456 |
Modular degree for the optimal curve |
Δ |
-1.3475823153759E+22 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ 11- -3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5429582,2737322676] |
[a1,a2,a3,a4,a6] |
j |
149273420334823/113635757312 |
j-invariant |
L |
1.2881937326884 |
L(r)(E,1)/r! |
Ω |
0.080512108282995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506h1 |
Quadratic twists by: 17 |