Atkin-Lehner |
2- 3- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43758w |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
33468770557327248 = 24 · 36 · 112 · 136 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85100,3739871] |
[a1,a2,a3,a4,a6] |
Generators |
[-293:2005:1] |
Generators of the group modulo torsion |
j |
93493211839989625/45910522026512 |
j-invariant |
L |
7.5493804296713 |
L(r)(E,1)/r! |
Ω |
0.3272454642744 |
Real period |
R |
0.96122804513214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4862c1 |
Quadratic twists by: -3 |