Atkin-Lehner |
3- 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395n |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
-75164426823915 = -1 · 39 · 5 · 112 · 135 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-31593,2201278] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:929:1] [-53:1930:1] |
Generators of the group modulo torsion |
j |
-4783753426087936/103106209635 |
j-invariant |
L |
5.5746251162491 |
L(r)(E,1)/r! |
Ω |
0.6125087068714 |
Real period |
R |
0.227532484629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36465n1 |
Quadratic twists by: -3 |