Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608y |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
766359604559872 = 240 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 0 0 0 0 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44620,-3374448] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:156:1] [-3552:12628:27] |
Generators of the group modulo torsion |
j |
37477661819625/2923429888 |
j-invariant |
L |
8.944167964132 |
L(r)(E,1)/r! |
Ω |
0.3301097271861 |
Real period |
R |
27.094530174477 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44608b1 11152k1 |
Quadratic twists by: -4 8 |