Atkin-Lehner |
2+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44506h |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-558292475673856 = -1 · 28 · 79 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 11+ -3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,18787,558264] |
[a1,a2,a3,a4,a6] |
Generators |
[3:782:1] [24:999:1] |
Generators of the group modulo torsion |
j |
149273420334823/113635757312 |
j-invariant |
L |
5.5198278113071 |
L(r)(E,1)/r! |
Ω |
0.33195992659196 |
Real period |
R |
0.46188873424635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506c1 |
Quadratic twists by: 17 |