Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44506k |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
646272 |
Modular degree for the optimal curve |
Δ |
4632237777181168 = 24 · 73 · 112 · 178 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11+ -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1001536,385689694] |
[a1,a2,a3,a4,a6] |
Generators |
[581:-221:1] |
Generators of the group modulo torsion |
j |
15926905797625/664048 |
j-invariant |
L |
4.2856653429653 |
L(r)(E,1)/r! |
Ω |
0.40815153676027 |
Real period |
R |
2.6250454530777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44506b1 |
Quadratic twists by: 17 |