Atkin-Lehner |
2- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44608bm |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
713728 = 210 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 1 2 -3 4 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-497,4103] |
[a1,a2,a3,a4,a6] |
j |
13285149952/697 |
j-invariant |
L |
2.6972002604103 |
L(r)(E,1)/r! |
Ω |
2.697200260484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608t1 11152h1 |
Quadratic twists by: -4 8 |